Journal of mathematical analysis and applications, ISSN 0022-247X, 2013, Volume 402, Issue 1, pp. 127 - 132

We improve the operator Kantorovich inequality as follows: Let A be a positive operator on a Hilbert space with 0 Schwarz inequality | Choi’s inequality | Kantorovich inequality | Operator inequalities | Wielandt inequality | Positive linear maps | Choi's inequality | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2016, Volume 433, Issue 2, pp. 1561 - 1593

We develop a systematic theory of eventually positive semigroups of linear operators mainly on spaces of continuous functions...

One-parameter semigroups of linear operators | Semigroups on Banach lattices | Eventually positive semigroup | Perron–Frobenius theory | Perron-Frobenius theory | Perron Frobenius theory | MATHEMATICS | MATHEMATICS, APPLIED | TO-NEUMANN OPERATOR | MATRICES | NEGATIVE ENTRIES

One-parameter semigroups of linear operators | Semigroups on Banach lattices | Eventually positive semigroup | Perron–Frobenius theory | Perron-Frobenius theory | Perron Frobenius theory | MATHEMATICS | MATHEMATICS, APPLIED | TO-NEUMANN OPERATOR | MATRICES | NEGATIVE ENTRIES

Journal Article

Mathematical Inequalities and Applications, ISSN 1331-4343, 10/2018, Volume 21, Issue 4, pp. 1167 - 1174

The purpose of this paper is to present some general inequalities for operator concave functions which include some known inequalities as a particular case...

Positive linear map | Bellman inequality | Operator concave | Kantorovich inequality | Operator inequalities | Kantorovich in-equality | MATHEMATICS | positive linear map | operator inequalities

Positive linear map | Bellman inequality | Operator concave | Kantorovich inequality | Operator inequalities | Kantorovich in-equality | MATHEMATICS | positive linear map | operator inequalities

Journal Article

Filomat, ISSN 0354-5180, 1/2013, Volume 27, Issue 1, pp. 173 - 181

In this paper, we consider a certain King type operators which includes general families...

Mathematical functions | Approximation | College mathematics | Stancu operators | Post-Widder operators | Baskakov operators | Lipschitz type space | Positive linear operators | Modulus of continuity | Szász-Mirakjan operators | MATHEMATICS | MATHEMATICS, APPLIED | Szasz-Mirakjan operators | MIRAKJAN TYPE OPERATORS | ERROR ESTIMATION | modulus of continuity | LINEAR-OPERATORS

Mathematical functions | Approximation | College mathematics | Stancu operators | Post-Widder operators | Baskakov operators | Lipschitz type space | Positive linear operators | Modulus of continuity | Szász-Mirakjan operators | MATHEMATICS | MATHEMATICS, APPLIED | Szasz-Mirakjan operators | MIRAKJAN TYPE OPERATORS | ERROR ESTIMATION | modulus of continuity | LINEAR-OPERATORS

Journal Article

Resultate der Mathematik, ISSN 1420-9012, 2018, Volume 74, Issue 1, pp. 1 - 24

The present paper deals with the modified positive linear operators that present a better degree of approximation than the original ones...

Voronovskaja type theorem | Primary 41A10 | Ditzian–Totik modulus of smoothness | 41A36 | linear positive operators | Mathematics, general | Mathematics | Secondary 41A25 | MATHEMATICS | MATHEMATICS, APPLIED | Ditzian-Totik modulus of smoothness | DURRMEYER | APPROXIMATION PROPERTIES | VARIANT

Voronovskaja type theorem | Primary 41A10 | Ditzian–Totik modulus of smoothness | 41A36 | linear positive operators | Mathematics, general | Mathematics | Secondary 41A25 | MATHEMATICS | MATHEMATICS, APPLIED | Ditzian-Totik modulus of smoothness | DURRMEYER | APPROXIMATION PROPERTIES | VARIANT

Journal Article

Constructive Approximation, ISSN 0176-4276, 10/2019, Volume 50, Issue 2, pp. 293 - 321

We prove asymptotic evaluations for univariate and multivariate positive linear operators...

Cesàro and Volterra operator | 41A35 | 41A36 | 41A25 | Korovkin approximation theorem | Numerical Analysis | Analysis | 41A65 | Mathematics | Asymptotic evaluations for univariate and multivariate positive operators | Positive linear operators | Iterates | MATHEMATICS | Cesaro and Volterra operator

Cesàro and Volterra operator | 41A35 | 41A36 | 41A25 | Korovkin approximation theorem | Numerical Analysis | Analysis | 41A65 | Mathematics | Asymptotic evaluations for univariate and multivariate positive operators | Positive linear operators | Iterates | MATHEMATICS | Cesaro and Volterra operator

Journal Article

Positivity, ISSN 1385-1292, 9/2016, Volume 20, Issue 3, pp. 565 - 577

...Positivity (2016) 20:565–577 DOI 10.1007/s11117-015-0372-2 Positivity Relative modular convergence of positive linear operators Burçak Y lmaz 1 · Kamil Demirci...

Modular space | Mathematics | Korovkin theorem | Operator Theory | 41A35 | Fourier Analysis | 41A36 | Potential Theory | Calculus of Variations and Optimal Control; Optimization | 46E30 | Relative modular convergence | Positive linear operators | Econometrics | MATHEMATICS | Studies

Modular space | Mathematics | Korovkin theorem | Operator Theory | 41A35 | Fourier Analysis | 41A36 | Potential Theory | Calculus of Variations and Optimal Control; Optimization | 46E30 | Relative modular convergence | Positive linear operators | Econometrics | MATHEMATICS | Studies

Journal Article

Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 3/2012, Volume 109, Issue 10, pp. 3705 - 3710

The spectral bound, s(αA + βV), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in β ϵ R...

Mathematical theorems | Spectral theory | Alleles | Linear transformations | Eigenvalues | Evolution | Semigroups | Matrices | Convexity | Perturbation theory | Reduction principle | Non-self-adjoint | Positive semigroup | Schrödinger operator | MAXIMUM PRINCIPLE | IDEAL FREE DISTRIBUTION | MULTIDISCIPLINARY SCIENCES | MIGRATION MODIFICATION | non-self-adjoint | reduction principle | MODIFIER GENES | ELLIPTIC-OPERATORS | DISPERSAL | SEMIGROUPS | EVOLUTION | perturbation theory | positive semigroup | Schrodinger operator | PRINCIPAL EIGENVALUE | SELECTION | Models, Theoretical | Genetics, Population | Computational Biology - methods | Physics - methods | Genetic Variation | Algorithms | Models, Biological | Recombination, Genetic | Genetics | Models, Genetic | Biophysics - methods | Diffusion | Evolution, Molecular | Schrodinger equation | Research | Biomathematics | Operator theory | Population biology | Biological Sciences | Physical Sciences

Mathematical theorems | Spectral theory | Alleles | Linear transformations | Eigenvalues | Evolution | Semigroups | Matrices | Convexity | Perturbation theory | Reduction principle | Non-self-adjoint | Positive semigroup | Schrödinger operator | MAXIMUM PRINCIPLE | IDEAL FREE DISTRIBUTION | MULTIDISCIPLINARY SCIENCES | MIGRATION MODIFICATION | non-self-adjoint | reduction principle | MODIFIER GENES | ELLIPTIC-OPERATORS | DISPERSAL | SEMIGROUPS | EVOLUTION | perturbation theory | positive semigroup | Schrodinger operator | PRINCIPAL EIGENVALUE | SELECTION | Models, Theoretical | Genetics, Population | Computational Biology - methods | Physics - methods | Genetic Variation | Algorithms | Models, Biological | Recombination, Genetic | Genetics | Models, Genetic | Biophysics - methods | Diffusion | Evolution, Molecular | Schrodinger equation | Research | Biomathematics | Operator theory | Population biology | Biological Sciences | Physical Sciences

Journal Article

Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 6/2018, Volume 42, Issue 2, pp. 881 - 886

In the present work, we define a new reciprocal class $$\mathcal {LD} _{b}^{k}\left( a,c,\beta \right) $$ LDbka,c,β using the Carlson–Shaffer linear operator...

Subordination | Engineering | Life Sciences, general | Chemistry/Food Science, general | Materials Science, general | Functions with positive real part | Earth Sciences, general | Engineering, general | Physics, general | Linear operator | STARLIKE | MULTIDISCIPLINARY SCIENCES | New classes | Analytic functions | Mathematical analysis | Linear operators

Subordination | Engineering | Life Sciences, general | Chemistry/Food Science, general | Materials Science, general | Functions with positive real part | Earth Sciences, general | Engineering, general | Physics, general | Linear operator | STARLIKE | MULTIDISCIPLINARY SCIENCES | New classes | Analytic functions | Mathematical analysis | Linear operators

Journal Article

Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 12, pp. 4333 - 4340

Let 0 < mI <= A <= m'I <= M'I <= B <= MI and p >= 1. Then for every positive unital linear map Phi, Phi(2p)(A del B-t) <= (K(h,2)/4(1/p-1) (1+Q(t)(log M'/m')(2...

Positive linear map | Kantorovich constant | Operator inequalities | Wielandt inequality | MATHEMATICS | MATHEMATICS, APPLIED | operator inequalities | KANTOROVICH | positive linear map

Positive linear map | Kantorovich constant | Operator inequalities | Wielandt inequality | MATHEMATICS | MATHEMATICS, APPLIED | operator inequalities | KANTOROVICH | positive linear map

Journal Article

Linear algebra and its applications, ISSN 0024-3795, 2016, Volume 491, pp. 73 - 82

We square operator Pólya–Szegö and Diaz–Metcalf type inequalities as follows: If operator inequalities 0 Positive linear map | Operator inequality | Geometric mean | Pólya–Szegö inequality | Diaz–Metcalf type inequality | Pólya-Szegö inequality | Diaz-Metcalf type inequality | MATHEMATICS | SCHWARZ INEQUALITY | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | Polya-Szego inequality

Journal Article

Results in Mathematics, ISSN 1422-6383, 11/2017, Volume 72, Issue 3, pp. 1033 - 1040

.... Here we consider certain aspects of (in)decomposability of positive linear operators given on C(X...

41A36 | composition | 41A63 | 41A65 | Mathematics, general | Mathematics | decomposition | Positive linear operators | MATHEMATICS | MATHEMATICS, APPLIED | BERNSTEIN OPERATORS

41A36 | composition | 41A63 | 41A65 | Mathematics, general | Mathematics | decomposition | Positive linear operators | MATHEMATICS | MATHEMATICS, APPLIED | BERNSTEIN OPERATORS

Journal Article

Turkish Journal of Mathematics, ISSN 1300-0098, 2017, Volume 41, Issue 5, pp. 1360 - 1364

In this short paper we present a generalization of the Hahn-Banach extension theorem for A-linear operators...

Riesz space | Hahn-Banach extension theorem | A-linear operator | Positive operator | MATHEMATICS | positive operator

Riesz space | Hahn-Banach extension theorem | A-linear operator | Positive operator | MATHEMATICS | positive operator

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 05/2020, Volume 278, Issue 9, p. 108428

We construct families of optimal Hardy-weights for a subcritical linear second-order elliptic operator using a one-dimensional reduction...

Rellich inequality | Ground state | Hardy inequality | Minimal growth | MATHEMATICS | INEQUALITIES | POSITIVE SOLUTIONS

Rellich inequality | Ground state | Hardy inequality | Minimal growth | MATHEMATICS | INEQUALITIES | POSITIVE SOLUTIONS

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 6

In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9...

Kantorovich inequalities | positive linear maps | operator inequalities | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | 47A63 | 47A30 | MATHEMATICS | MATHEMATICS, APPLIED | Operators | Maps | Studs | Inequalities

Kantorovich inequalities | positive linear maps | operator inequalities | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | 47A63 | 47A30 | MATHEMATICS | MATHEMATICS, APPLIED | Operators | Maps | Studs | Inequalities

Journal Article

Applied mathematics and computation, ISSN 0096-3003, 2015, Volume 264, pp. 392 - 402

In this paper, we introduce a new analogue of Bernstein–Stancu operators based on (p, q)-integers which we call...

Korovkin’s type approximation theorem | Positive linear operator | (p, q)-integers | Modulus of continuity | Bernstein–Stancu operators | q-Bernstein–Stancu operators | Korovkin's type approximation theorem | Bernstein-Stancu operators | q-Bernstein-Stancu operators | MATHEMATICS, APPLIED | STATISTICAL APPROXIMATION

Korovkin’s type approximation theorem | Positive linear operator | (p, q)-integers | Modulus of continuity | Bernstein–Stancu operators | q-Bernstein–Stancu operators | Korovkin's type approximation theorem | Bernstein-Stancu operators | q-Bernstein-Stancu operators | MATHEMATICS, APPLIED | STATISTICAL APPROXIMATION

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 3, pp. 871 - 876

This paper improves and generalizes the Kantorovich and Wielandt inequalities for positive linear maps on Hilbert space operators and presents more general...

Linear inequalities | Linear transformations | Mathematical inequalities | Kantorovich inequality | Operator inequalities | Wielandt inequality | Positive linear maps | MATHEMATICS | MATHEMATICS, APPLIED | positive linear maps | operator inequalities

Linear inequalities | Linear transformations | Mathematical inequalities | Kantorovich inequality | Operator inequalities | Wielandt inequality | Positive linear maps | MATHEMATICS | MATHEMATICS, APPLIED | positive linear maps | operator inequalities

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 8, pp. 2355 - 2364

.... Finally, we present –th powering of some reversed inequalities for operators related to Karcher mean and power mean involving positive linear maps.

Positive linear map | Operator inequality | α−geometric mean | MATHEMATICS | MATHEMATICS, APPLIED | alpha-geometric mean | operator inequality

Positive linear map | Operator inequality | α−geometric mean | MATHEMATICS | MATHEMATICS, APPLIED | alpha-geometric mean | operator inequality

Journal Article

2004, ISBN 9780817643508, viii, 202

Book

Positivity, ISSN 1385-1292, 9/2017, Volume 21, Issue 3, pp. 847 - 863

In this paper, we investigate the problem of statistical approximation to a function f by means of positive linear operators defined on a modular space...

Modular space | Mathematics | Statistical convergence | Statistical relative modular convergence | Korovkin theorem | Operator Theory | 41A35 | Fourier Analysis | 41A36 | Potential Theory | Calculus of Variations and Optimal Control; Optimization | 46E30 | Positive linear operators | Econometrics | MATHEMATICS | Operators | Linear operators | Convergence

Modular space | Mathematics | Statistical convergence | Statistical relative modular convergence | Korovkin theorem | Operator Theory | 41A35 | Fourier Analysis | 41A36 | Potential Theory | Calculus of Variations and Optimal Control; Optimization | 46E30 | Positive linear operators | Econometrics | MATHEMATICS | Operators | Linear operators | Convergence

Journal Article

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