Acta Mechanica, ISSN 00015970, 7/2017, Volume 228, Issue 7, pp. 2655  2674
Based on the firstorder shear deformation plate theory, two approaches within the extended Kantorovich method (EKM...
Engineering  Vibration, Dynamical Systems, Control  Classical and Continuum Physics  Engineering Thermodynamics, Heat and Mass Transfer  Theoretical and Applied Mechanics  Continuum Mechanics and Mechanics of Materials  Structural Mechanics  DEFLECTION ANALYSIS  ELEMENT  MECHANICS  MINDLIN PLATES  RECTANGULAR ORTHOTROPIC PLATES  BENDING ANALYSIS  THIN PLATES  Analysis  Methods  Differential equations  Force and energy  Plate theory  Mechanical properties  Boundary conditions  Constants  Generalized differential quadrature method  Accuracy  Concentration (composition)  State space models  Mathematical analysis  Shear deformation  Ordinary differential equations  Solids  Annular plates  Functionally gradient materials  Kantorovich method
Engineering  Vibration, Dynamical Systems, Control  Classical and Continuum Physics  Engineering Thermodynamics, Heat and Mass Transfer  Theoretical and Applied Mechanics  Continuum Mechanics and Mechanics of Materials  Structural Mechanics  DEFLECTION ANALYSIS  ELEMENT  MECHANICS  MINDLIN PLATES  RECTANGULAR ORTHOTROPIC PLATES  BENDING ANALYSIS  THIN PLATES  Analysis  Methods  Differential equations  Force and energy  Plate theory  Mechanical properties  Boundary conditions  Constants  Generalized differential quadrature method  Accuracy  Concentration (composition)  State space models  Mathematical analysis  Shear deformation  Ordinary differential equations  Solids  Annular plates  Functionally gradient materials  Kantorovich method
Journal Article
Complex analysis and operator theory, ISSN 16618262, 2018, Volume 13, Issue 3, pp. 1161  1175
In this paper, we extend the saturation results for the sampling Kantorovich operators proved in a previous paper, to more general settings...
Sampling Kantorovich series  Saturation order  Mathematics  Generalized sampling operators  Operator Theory  41A25  41A30  Analysis  47A58  Mathematics, general  Inverse results  41A05  Order of approximation  MATHEMATICS  MATHEMATICS, APPLIED  APPROXIMATION  SPLINE FUNCTIONS  CONVERGENCE  THERMAL BRIDGES  Computer science
Sampling Kantorovich series  Saturation order  Mathematics  Generalized sampling operators  Operator Theory  41A25  41A30  Analysis  47A58  Mathematics, general  Inverse results  41A05  Order of approximation  MATHEMATICS  MATHEMATICS, APPLIED  APPROXIMATION  SPLINE FUNCTIONS  CONVERGENCE  THERMAL BRIDGES  Computer science
Journal Article
Linear algebra and its applications, ISSN 00243795, 2006, Volume 412, Issue 2, pp. 526  537
...) via generalized Kantorovich constant
K(
p). As some applications of two reverse inequalities, we shall show two trace reverse inequalities involving −Tr[
T
p
(
A∣
B)] and
D
p
(
A∥
B...
Generalized Kantorovich constant  Tsallis relative operator entropy  Specht ratio  Relative operator entropy  Tsallis relative entropy  Umegaki relative entropy  MATHEMATICS, APPLIED  relative operator entropy  generalized Kantorovich constant
Generalized Kantorovich constant  Tsallis relative operator entropy  Specht ratio  Relative operator entropy  Tsallis relative entropy  Umegaki relative entropy  MATHEMATICS, APPLIED  relative operator entropy  generalized Kantorovich constant
Journal Article
Issues of analysis, ISSN 23063432, 02/2020, Volume 27, Issue 1, pp. 38  51
A hyperbolic formulation has been established for the generalized Kantorovich constant...
hyperbolic formulation for kantorovich constant  generalized kantorovich constant  a dual generalized kantorovich constant  hyperbolic inequalities
hyperbolic formulation for kantorovich constant  generalized kantorovich constant  a dual generalized kantorovich constant  hyperbolic inequalities
Journal Article
Linear & multilinear algebra, ISSN 15635139, 2018, Volume 67, Issue 11, pp. 2253  2281
... Kantorovich constant.
AndoHiai inequality  generalized Kantorovich constant  Karcher mean  power mean  geometric mean  Operator mean  Ando–Hiai inequality  MATRIX POWER  MATHEMATICS  Inequalities
AndoHiai inequality  generalized Kantorovich constant  Karcher mean  power mean  geometric mean  Operator mean  Ando–Hiai inequality  MATRIX POWER  MATHEMATICS  Inequalities
Journal Article
Proceedings of the Edinburgh Mathematical Society, ISSN 00130915, 02/2019, Volume 62, Issue 1, pp. 265  280
In the present paper, an inverse result of approximation, i.e. a saturation theorem for the sampling Kantorovich operators, is derived in the case of uniform...
saturation theorem  generalized sampling operators  central Bsplines  inverse results  sampling Kantorovich series  order of approximation  THERMOGRAPHIC IMAGES  MATHEMATICS  BSPLINES  CONVERGENCE  QUASIINTERPOLATION  OPERATORS  Operators (mathematics)  Approximation  Representations  Sampling  Mathematical analysis  Continuity (mathematics)
saturation theorem  generalized sampling operators  central Bsplines  inverse results  sampling Kantorovich series  order of approximation  THERMOGRAPHIC IMAGES  MATHEMATICS  BSPLINES  CONVERGENCE  QUASIINTERPOLATION  OPERATORS  Operators (mathematics)  Approximation  Representations  Sampling  Mathematical analysis  Continuity (mathematics)
Journal Article
Mathematical methods in the applied sciences, ISSN 10991476, 2018, Volume 41, Issue 17, pp. 7971  7984
...‐product Kantorovich operators based on generalized type kernels depending on two functions ϕ and ψ...
uniform  pointwise  and Lp‐convergence with 1 ≤ p  K‐functional  max‐product sampling operators of Kantorovich kind  generalized (ϕ,ψ)‐kernel  modulus of continuity  neural network operators  convergence with 1 ≤ p  Kfunctional  and L  generalized (ϕ,ψ)kernel  maxproduct sampling operators of Kantorovich kind  SAMPLING TYPE  MATHEMATICS, APPLIED  SERIES  Kfunctional, and Lpconvergence with 1 <= p <= plus infinity  TERMS  generalized (phi, psi)kernel  SIGNALS  Kernels  Operators (mathematics)  Approximation  Mathematical analysis  Neural networks  Sampling  Convergence
uniform  pointwise  and Lp‐convergence with 1 ≤ p  K‐functional  max‐product sampling operators of Kantorovich kind  generalized (ϕ,ψ)‐kernel  modulus of continuity  neural network operators  convergence with 1 ≤ p  Kfunctional  and L  generalized (ϕ,ψ)kernel  maxproduct sampling operators of Kantorovich kind  SAMPLING TYPE  MATHEMATICS, APPLIED  SERIES  Kfunctional, and Lpconvergence with 1 <= p <= plus infinity  TERMS  generalized (phi, psi)kernel  SIGNALS  Kernels  Operators (mathematics)  Approximation  Mathematical analysis  Neural networks  Sampling  Convergence
Journal Article
Optimization Letters, ISSN 18624472, 2/2019, Volume 13, Issue 1, pp. 213  226
.... Consequently, the Lipschitz constants are at least as small as the ones used before. This way and under the...
Computational Intelligence  Operations Research/Decision Theory  Generalized equation  Newton’s method  Kantorovich’s theorem  Mathematics  Numerical and Computational Physics, Simulation  Weaker majorant condition  Optimization  Strong regularity  MATHEMATICS, APPLIED  OPERATIONS RESEARCH & MANAGEMENT SCIENCE  Kantorovich's theorem  Newton's method  CONVERGENCE
Computational Intelligence  Operations Research/Decision Theory  Generalized equation  Newton’s method  Kantorovich’s theorem  Mathematics  Numerical and Computational Physics, Simulation  Weaker majorant condition  Optimization  Strong regularity  MATHEMATICS, APPLIED  OPERATIONS RESEARCH & MANAGEMENT SCIENCE  Kantorovich's theorem  Newton's method  CONVERGENCE
Journal Article
9.
Full Text
Reverse inequalities involving two relative operator entropies and two relative entropies
Linear algebra and its applications, ISSN 00243795, 2005, Volume 403, Issue 13, pp. 24  30
...].
Then the following inequalities hold:
1

K
(
p
)
p
(
Tr
[
A
]
)
1

p
(
Tr
[
B
]
)
p
+
D
p
(
A


B
)
⩾

Tr
[
T
p
(
A

B
)
]
⩾
D
p
(
A


B
)
where K(p) is the generalized Kantorovich constant defined by
K...
Generalized Kantorovich constant  Tsallis relative operator entropy  Specht ratio  Relative operator entropy  Tsallis relative entropy  Umegaki relative entropy  MATHEMATICS, APPLIED  generalized Kantorovich constants  relative operator entropy
Generalized Kantorovich constant  Tsallis relative operator entropy  Specht ratio  Relative operator entropy  Tsallis relative entropy  Umegaki relative entropy  MATHEMATICS, APPLIED  generalized Kantorovich constants  relative operator entropy
Journal Article
Linear algebra and its applications, ISSN 00243795, 2008, Volume 429, Issue 7, pp. 1546  1554
...
s

(
1

α
)
s
(
1

α
)
s
+
α
r
h
2
(
1

α
)
s
(
s

r
)
(
1

α
)
s
+
α
r
‖
A
♯
α
B
‖
rs
(
1

α
)
s
+
α
r
,
where
A
♯
α
B
≔
A
1
2
(
A

1
2
BA

1
2
)
α
A
1
2
is the
α
geometric mean and a generalized Kantorovich constant
K...
Generalized Kantorovich constant  Operator inequality  Araki–Cordes inequality  Ando–Hiai inequality  Positive operator  Operator mean  AndoHiai inequality  ArakiCordes inequality  MATHEMATICS  ArakiCordes  inequality  MATHEMATICS, APPLIED  generalized kantorovich constant  operator inequality  positive operator  operator mean  Equality
Generalized Kantorovich constant  Operator inequality  Araki–Cordes inequality  Ando–Hiai inequality  Positive operator  Operator mean  AndoHiai inequality  ArakiCordes inequality  MATHEMATICS  ArakiCordes  inequality  MATHEMATICS, APPLIED  generalized kantorovich constant  operator inequality  positive operator  operator mean  Equality
Journal Article
OPERATORS AND MATRICES, ISSN 18463886, 2007, Volume 1, Issue 1, pp. 143  152
In this paper, we shall present Kantorovich type operator inequalities for Furuta inequality related to the usual order and the chaotic one in terms of a generalized Kantorovich constant...
MATHEMATICS  Specht ratio  Furuta inequality  Grand Furuta inequality  generalized Kantorovich constant  generalized condition number  Kantorovich inequality
MATHEMATICS  Specht ratio  Furuta inequality  Grand Furuta inequality  generalized Kantorovich constant  generalized condition number  Kantorovich inequality
Journal Article
Linear algebra and its applications, ISSN 00243795, 2005, Volume 396, Issue 13, pp. 175  187
.... As a matter of fact, we determine real constants
α
1 and
α
1 such that
α
2
M
k
[
s
]
(
A
;
ω
)
⩽
M
k
[
r
]
(
A
;
ω
)
⩽
α
1
M
k
[
s
]
(
A
;
ω
)
if
r
⩽
s, where
M
k
[
r...
Generalized Kantorovich constant  Mond–Pečarić method  Weighted power mean  Operator order  MondPečarić method  MondPecaric method  MATHEMATICS, APPLIED  weighted power mean  INEQUALITIES  operator order  generalized Kantorovich constant  FURUTA
Generalized Kantorovich constant  Mond–Pečarić method  Weighted power mean  Operator order  MondPečarić method  MondPecaric method  MATHEMATICS, APPLIED  weighted power mean  INEQUALITIES  operator order  generalized Kantorovich constant  FURUTA
Journal Article
Mathematical inequalities & applications, ISSN 13314343, 01/2017, Volume 20, Issue 1, pp. 217  223
In this paper, we show that if f is a doubly concave function on [0,8) and 0 < sA <= B <= tA for some scalars 0 < s <= t with w = t/s, then for every k = 1,2,...
Generalized Kantorovich constant  GoldenThompson inequality  Unitarily invariant norm  Geometric mean  AndoHiai inequality  Reverse inequality  Doubly concave function  unitarily invariant norm  MATHEMATICS  MATRICES  generalized Kantorovich constant  reverse inequality  geometric mean
Generalized Kantorovich constant  GoldenThompson inequality  Unitarily invariant norm  Geometric mean  AndoHiai inequality  Reverse inequality  Doubly concave function  unitarily invariant norm  MATHEMATICS  MATRICES  generalized Kantorovich constant  reverse inequality  geometric mean
Journal Article
Journal of Mathematical Inequalities, ISSN 1846579X, 06/2018, Volume 12, Issue 2, pp. 315  323
..., S(t) is the so called Specht's ratio and <=(ols) is the so called Olson order. The same inequalities are also provided with other constants...
Generalized Kantorovich constant  GoldenThompson inequality  Specht ratio  Unitarily invariant norm  Geometric mean  AndoHiai inequality  Olson order  Eigenvalue inequality  unitarily invariant norm  MATHEMATICS  MATHEMATICS, APPLIED  generalized Kantorovich constant  eigenvalue inequality  OPERATORS  geometric mean
Generalized Kantorovich constant  GoldenThompson inequality  Specht ratio  Unitarily invariant norm  Geometric mean  AndoHiai inequality  Olson order  Eigenvalue inequality  unitarily invariant norm  MATHEMATICS  MATHEMATICS, APPLIED  generalized Kantorovich constant  eigenvalue inequality  OPERATORS  geometric mean
Journal Article
15.
Full Text
Solving stationary problems for shallow shells by a generalized Kantorovich–Vlasov method
International Applied Mechanics, ISSN 10637095, 11/2008, Volume 44, Issue 11, pp. 1283  1293
A generalized Kantorovich–Vlasov method is used to solve stationary problems for shallow shells with rectangular planform and arbitrary boundary conditions...
numerical examples  generalized Kantorovich–Vlasov method  shallow shell  stationary problem  Mechanics  Applications of Mathematics  Physics  Generalized KantorovichVlasov method  Stationary problem  Numerical examples  Shallow shell  MECHANICS  VIBRATIONS  generalized KantorovichVlasov method  CYLINDRICALSHELLS  PLATES  Rectangular planforms  Shallow shells  Boundary conditions
numerical examples  generalized Kantorovich–Vlasov method  shallow shell  stationary problem  Mechanics  Applications of Mathematics  Physics  Generalized KantorovichVlasov method  Stationary problem  Numerical examples  Shallow shell  MECHANICS  VIBRATIONS  generalized KantorovichVlasov method  CYLINDRICALSHELLS  PLATES  Rectangular planforms  Shallow shells  Boundary conditions
Journal Article
Acta mathematica Sinica. English series, ISSN 14398516, 2011, Volume 27, Issue 7, pp. 1247  1258
In this paper an asymptotic formula of Voronovskaja type for a multivariate extension of the Kantorovich generalized sampling series is given...
Riesz基  渐近公式  Kantorovich  多元样条  ch型  光滑模  Voronovskajatype formula  moments  41A25  Mathematics, general  Mathematics  41A60  multivariate Kantorovich generalized sampling series  Peetre Kfunctional  94A20  MATHEMATICS  MATHEMATICS, APPLIED  APPROXIMATION  SPLINES  CONVERGENCE  OPERATORS  BERNSTEIN POLYNOMIALS  Studies  Multivariate analysis  Sampling  Asymptotic methods  Kernels  Asymptotic properties  Mathematical analysis  Splines  Smoothness
Riesz基  渐近公式  Kantorovich  多元样条  ch型  光滑模  Voronovskajatype formula  moments  41A25  Mathematics, general  Mathematics  41A60  multivariate Kantorovich generalized sampling series  Peetre Kfunctional  94A20  MATHEMATICS  MATHEMATICS, APPLIED  APPROXIMATION  SPLINES  CONVERGENCE  OPERATORS  BERNSTEIN POLYNOMIALS  Studies  Multivariate analysis  Sampling  Asymptotic methods  Kernels  Asymptotic properties  Mathematical analysis  Splines  Smoothness
Journal Article
Mathematical inequalities & applications, ISSN 13314343, 2011, Volume 14, Issue 4, pp. 905  910
...(A) where the Kantorovich constant for the difference C(m, M, alpha) is defined by C(m, M, alpha) = (alpha  1) (Ma  m(a)/alpha(Mm)(alpha/alpha1) + Mm(alpha)  mM(alpha)/Mm for any real number alpha is an element of R.
Generalized Kantorovich constant  Positive linear map  CauchySchwarz inequality  Geometric mean  Positive operator  MATHEMATICS  generalized Kantorovich constant  positive linear map  geometric mean
Generalized Kantorovich constant  Positive linear map  CauchySchwarz inequality  Geometric mean  Positive operator  MATHEMATICS  generalized Kantorovich constant  positive linear map  geometric mean
Journal Article
Sampling theory in signal and image processing, ISSN 15306429, 01/2007, Volume 6, Issue 1, pp. 29  52
...Abstract
This paper deals with the Kantorovich version of generalized
sampling series, the first one to be primarily concerned with this
version. It is devoted...
Kantorovichtype operators  Irregular sampling  Modular convergence  Generalized sampling operators  L log Lspace  Orlicz spaces  Invariant subspaces  Research  Functions, Modular  Statistical sampling
Kantorovichtype operators  Irregular sampling  Modular convergence  Generalized sampling operators  L log Lspace  Orlicz spaces  Invariant subspaces  Research  Functions, Modular  Statistical sampling
Journal Article
Numerical Algorithms, ISSN 10171398, 10/2014, Volume 67, Issue 2, pp. 289  303
In this paper, we are concerned with the semilocal convergence analysis of a Newtonlike method discussed by Bartle (Amer Math Soc 6: 827–831, 1955) to solve...
Semilocal convergence  Generalized operator equation  Fréchet derivative  Numeric Computing  Nonlinear Fredholmtype operator equation  Theory of Computation  Banach space  Newtonlike method  Algorithms  Algebra  Numerical Analysis  Computer Science  49M15  65J15  MATHEMATICS, APPLIED  CONVERGENCE ANALYSIS  Frechet derivative  KANTOROVICH APPROXIMATIONS  SOLVING NONLINEAR EQUATIONS  Operators  Lipschitz condition  Numerical analysis  Mathematical analysis  Newton methods  Mathematical models  Convergence
Semilocal convergence  Generalized operator equation  Fréchet derivative  Numeric Computing  Nonlinear Fredholmtype operator equation  Theory of Computation  Banach space  Newtonlike method  Algorithms  Algebra  Numerical Analysis  Computer Science  49M15  65J15  MATHEMATICS, APPLIED  CONVERGENCE ANALYSIS  Frechet derivative  KANTOROVICH APPROXIMATIONS  SOLVING NONLINEAR EQUATIONS  Operators  Lipschitz condition  Numerical analysis  Mathematical analysis  Newton methods  Mathematical models  Convergence
Journal Article
International Journal of Applied and Computational Mathematics, ISSN 23495103, 12/2017, Volume 3, Issue 4, pp. 3295  3304
In this paper we consider the Kantorovich’s theorem for solving generalized equations
$$F(x)+Q(x) \ni 0$$
F
(
x
)
+
Q
(
x
)
∋
0
using...
Theoretical, Mathematical and Computational Physics  Newton’s method  Mathematics  Maximal monotone operator  Computational Science and Engineering  Restricted convergence domains  90C30  49J53  Operations Research/Decision Theory  Nuclear Energy  Generalized equation  Kantorovich’s theorem  65G99  Applications of Mathematics  Mathematical Modeling and Industrial Mathematics
Theoretical, Mathematical and Computational Physics  Newton’s method  Mathematics  Maximal monotone operator  Computational Science and Engineering  Restricted convergence domains  90C30  49J53  Operations Research/Decision Theory  Nuclear Energy  Generalized equation  Kantorovich’s theorem  65G99  Applications of Mathematics  Mathematical Modeling and Industrial Mathematics
Journal Article
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