Journal of inequalities and applications, ISSN 1029-242X, 2017, Volume 2017, Issue 1, pp. 1 - 17

In the article, we prove that the double inequality
x
2
+
p
0
x
+
p
0
<
Γ
(
x
+
1
)
<
x
2
+
9
/
5
x
+
9
/
5
$$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)<...

33B15 | rational bound | psi function | Analysis | gamma function | Mathematics, general | Mathematics | 41A60 | Applications of Mathematics | 26D07 | completely monotonic function | MATHEMATICS | MATHEMATICS, APPLIED | FUNCTION INEQUALITY | completely monotonicn function | Gamma function | Research

33B15 | rational bound | psi function | Analysis | gamma function | Mathematics, general | Mathematics | 41A60 | Applications of Mathematics | 26D07 | completely monotonic function | MATHEMATICS | MATHEMATICS, APPLIED | FUNCTION INEQUALITY | completely monotonicn function | Gamma function | Research

Journal Article

2.
Full Text
Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 13

In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means in terms of combinations of arithmetic and contra-harmonic means.

26E60 | Analysis | Mathematics, general | Mathematics | 26D99 | Applications of Mathematics | Schwab–Borchardt mean | Arithmetic mean | Contra-harmonic mean | 26D07 | Quadratic mean | Sándor–Yang mean | MATHEMATICS | Schwab-Borchardt mean | MATHEMATICS, APPLIED | INEQUALITIES | POWER | SEIFFERT | Sandor-Yang mean | Lower bounds | Arithmetic | Research

26E60 | Analysis | Mathematics, general | Mathematics | 26D99 | Applications of Mathematics | Schwab–Borchardt mean | Arithmetic mean | Contra-harmonic mean | 26D07 | Quadratic mean | Sándor–Yang mean | MATHEMATICS | Schwab-Borchardt mean | MATHEMATICS, APPLIED | INEQUALITIES | POWER | SEIFFERT | Sandor-Yang mean | Lower bounds | Arithmetic | Research

Journal Article

Demonstratio Mathematica, ISSN 0420-1213, 09/2012, Volume 45, Issue 3, pp. 533 - 540

In this note, we establish a new inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary...

26D07 | Ostrowski’s inequality | 26D15 | Ostrowski's inequality

26D07 | Ostrowski’s inequality | 26D15 | Ostrowski's inequality

Journal Article

Arabian Journal of Mathematics, ISSN 2193-5343, 6/2019, Volume 8, Issue 2, pp. 95 - 107

In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets $${\mathbb {R}}^{\alpha }\,...

Primary 26A51 | 26D10 | Secondary 26A33 | Mathematics, general | Mathematics | 26D07 | 26D15 | Integrals

Primary 26A51 | 26D10 | Secondary 26A33 | Mathematics, general | Mathematics | 26D07 | 26D15 | Integrals

Journal Article

Journal of Applied Analysis, ISSN 1425-6908, 06/2016, Volume 22, Issue 1, pp. 49 - 54

In the paper, the authors establish an inequality involving the gamma and digamma functions and apply it to prove the negativity and monotonicity of a function...

33B15 | inequality | polygamma function | psi function | application | negativity | monotonicity | 26A48 | Gamma function | 26D07 | Studies | Mathematics | Mathematics - Classical Analysis and ODEs

33B15 | inequality | polygamma function | psi function | application | negativity | monotonicity | 26A48 | Gamma function | 26D07 | Studies | Mathematics | Mathematics - Classical Analysis and ODEs

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 255 - 266

We focus on the improvements for Young inequality. We give elementary proof for known results by Dragomir, and we give remarkable notes and some comparisons....

Young inequality and operator inequality | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | 26D20 and 15A45 | 26D07 | MATHEMATICS | Inequalities | Mathematics - Classical Analysis and ODEs

Young inequality and operator inequality | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | 26D20 and 15A45 | 26D07 | MATHEMATICS | Inequalities | Mathematics - Classical Analysis and ODEs

Journal Article

The Ramanujan journal, ISSN 1572-9303, 2018, Volume 50, Issue 2, pp. 263 - 287

In this paper, our aim is to establish some mean value inequalities for the Fox–Wright functions, such as Turán-type inequalities, Lazarević and Wilker-type...

Hypergeometric functions | 33E12 | Functions of a Complex Variable | 33C20 | Field Theory and Polynomials | Lazarević and Wilker-type inequalities | Mathematics | Fox–Wright functions | Four-parametric Mittag–Leffler functions | Fourier Analysis | Turán-type inequalities | Number Theory | Combinatorics | 26D07 | Analysis | Television programs

Hypergeometric functions | 33E12 | Functions of a Complex Variable | 33C20 | Field Theory and Polynomials | Lazarević and Wilker-type inequalities | Mathematics | Fox–Wright functions | Four-parametric Mittag–Leffler functions | Fourier Analysis | Turán-type inequalities | Number Theory | Combinatorics | 26D07 | Analysis | Television programs

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 10

In the article, we discuss the monotonicity properties of the function
x
→
(
1
−
e
−
a
x
p
)
1
/
p
/
∫
0
x
e
−
t
p
d
t
$x\rightarrow (1-e^{-ax^{p}}...

psi function | Analysis | 33B20 | gamma function | incomplete gamma function | Mathematics, general | Mathematics | Applications of Mathematics | 26D07 | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | BOUNDS | Gamma function | Texts | Inequalities

psi function | Analysis | 33B20 | gamma function | incomplete gamma function | Mathematics, general | Mathematics | Applications of Mathematics | 26D07 | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | BOUNDS | Gamma function | Texts | Inequalities

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 10/2018, Volume 41, Issue 4, pp. 1995 - 2010

We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the...

51M09 (26D07) | Hyperbolic Lambert quadrilateral | Mathematics, general | Hyperbolic metric | Mathematics | Applications of Mathematics | Hölder mean | MATHEMATICS | GENERALIZED CONVEXITY | Holder mean | Convexity | Hyperbolic functions | Trigonometric functions | Quadrilaterals

51M09 (26D07) | Hyperbolic Lambert quadrilateral | Mathematics, general | Hyperbolic metric | Mathematics | Applications of Mathematics | Hölder mean | MATHEMATICS | GENERALIZED CONVEXITY | Holder mean | Convexity | Hyperbolic functions | Trigonometric functions | Quadrilaterals

Journal Article

Journal of applied analysis, ISSN 1869-6082, 2019, Volume 25, Issue 1, pp. 59 - 72

In the present paper, a new class of generalized beta -preinvex functions is introduced and some new integral inequalities for the left-hand side of...

Hölder’s inequality | 26A51 | 26D10 | 26A33 | Minkowski’s inequality | power mean inequality | 26D07 | 26D15 | Hermite–Hadamard type inequality | Riemann–Liouville fractional integral | Mathematical analysis | Integrals | Estimates

Hölder’s inequality | 26A51 | 26D10 | 26A33 | Minkowski’s inequality | power mean inequality | 26D07 | 26D15 | Hermite–Hadamard type inequality | Riemann–Liouville fractional integral | Mathematical analysis | Integrals | Estimates

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 6/2019, Volume 49, Issue 2, pp. 321 - 339

In this paper, the function
$$F_a(x;q)$$
F
a
(
x
;
q
)
is defined in terms of logarithmic of q-gamma function for all reals x, a and q with
$$q>0$$
q
>
0
. The...

Lambert W function | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | q -Gamma function | 33D05 | Completely monotonic function | Fourier Analysis | Inequalities | Number Theory | 26A48 | Combinatorics | 26D07 | q -Polygamma functions | q-Gamma function | q-Polygamma functions | MATHEMATICS

Lambert W function | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | q -Gamma function | 33D05 | Completely monotonic function | Fourier Analysis | Inequalities | Number Theory | 26A48 | Combinatorics | 26D07 | q -Polygamma functions | q-Gamma function | q-Polygamma functions | MATHEMATICS

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 12/2014, Volume 88, Issue 3, pp. 277 - 289

A new bivariate mean is introduced and studied. The mean under discussion is defined as the degenerate case of the completely symmetric elliptic integral of...

inequalities | symmetric elliptic integrals | Analysis | Primary 26E60 | Mathematics | Schwab–Borchardt mean | Combinatorics | Secondary 33E05 | 26D07 | Bivariate means | MATHEMATICS | Schwab-Borchardt mean | MATHEMATICS, APPLIED | BOUNDS | ELLIPTIC INTEGRALS | Mathematical problems | Inequalities | Elliptic integrals

inequalities | symmetric elliptic integrals | Analysis | Primary 26E60 | Mathematics | Schwab–Borchardt mean | Combinatorics | Secondary 33E05 | 26D07 | Bivariate means | MATHEMATICS | Schwab-Borchardt mean | MATHEMATICS, APPLIED | BOUNDS | ELLIPTIC INTEGRALS | Mathematical problems | Inequalities | Elliptic integrals

Journal Article

The Journal of Analysis, ISSN 0971-3611, 12/2019, Volume 27, Issue 4, pp. 943 - 984

A n variables mean M is said to be reducible in a certain class of means
$$\mathcal {N}$$
N
when M can be represented as a composition of a finite number...

26E60 | Means | Reducibility | 08A75 | Mathematics | Representation | Clones | Abstract Harmonic Analysis | Fourier Analysis | Functional Analysis | Special Functions | Analysis | 20M30 | Measure and Integration | 26D07

26E60 | Means | Reducibility | 08A75 | Mathematics | Representation | Clones | Abstract Harmonic Analysis | Fourier Analysis | Functional Analysis | Special Functions | Analysis | 20M30 | Measure and Integration | 26D07

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 2/2018, Volume 92, Issue 1, pp. 7 - 24

In the 1960s Cargo and Shisha introduced a metric in a family of quasi-arithmetic means defined on a common interval as the maximal possible difference between...

Risk aversion | 26E60 | Arrow–Pratt index | Analysis | Lower boundaries | Distance between means | Mathematics | Metric | Combinatorics | 26D07 | 26D15 | Quasi-arithmetic means | MATHEMATICS | MATHEMATICS, APPLIED | Arrow-Pratt index

Risk aversion | 26E60 | Arrow–Pratt index | Analysis | Lower boundaries | Distance between means | Mathematics | Metric | Combinatorics | 26D07 | 26D15 | Quasi-arithmetic means | MATHEMATICS | MATHEMATICS, APPLIED | Arrow-Pratt index

Journal Article

Journal of inequalities and applications, ISSN 1025-5834, 2017, Volume 2017, Issue 1, pp. 1 - 12

Based on the Pade approximation method, in this paper we determine the coefficients a(j) and b(j) such that pi = ((2n)!!/(2n - 1)!!)(2) {n(k) + a(1)n(k-1) +...

inequality | approximation | psi function | gamma function | Wallis ratio | MATHEMATICS | GURLANDS FORMULA | MATHEMATICS, APPLIED | REFINEMENTS | INEQUALITIES | Coefficients | Mathematical analysis | Approximation | 33B15 | 41A60 | Research | 26D07

inequality | approximation | psi function | gamma function | Wallis ratio | MATHEMATICS | GURLANDS FORMULA | MATHEMATICS, APPLIED | REFINEMENTS | INEQUALITIES | Coefficients | Mathematical analysis | Approximation | 33B15 | 41A60 | Research | 26D07

Journal Article

The Bulletin of the London Mathematical Society, ISSN 1469-2120, 2019, Volume 51, Issue 6, pp. 967 - 977

In this paper, we establish some weighted Muckenhoupt‐ and Gehring‐type inequalities. These are obtained by employing new inequalities of Hardy type. We also...

26D07 (primary) | 42B25 | 42C10 (secondary)

26D07 (primary) | 42B25 | 42C10 (secondary)

Journal Article

Journal of applied analysis, ISSN 1869-6082, 2018, Volume 24, Issue 2, pp. 211 - 221

In the present paper, the notion of generalized -preinvex Godunova–Levin function of second kind is introduced, and some new integral inequalities involving...

Simpson type inequality | Hölder’s inequality | 26A51 | Ostrowski type inequality | 26D10 | 26A33 | Hermite–Hadamard inequality | fractional integral | 26D07 | 26D15 | Hölder's inequality | Hermite-Hadamard inequality

Simpson type inequality | Hölder’s inequality | 26A51 | Ostrowski type inequality | 26D10 | 26A33 | Hermite–Hadamard inequality | fractional integral | 26D07 | 26D15 | Hölder's inequality | Hermite-Hadamard inequality

Journal Article

Mathematical Programming, ISSN 0025-5610, 2/2014, Volume 143, Issue 1, pp. 339 - 356

This paper derives new algorithms for signomial programming, a generalization of geometric programming. The algorithms are based on a generic principle for...

Global convergence | Parameter separation | Theoretical, Mathematical and Computational Physics | Mathematics | Penalty method | Geometric programming | Signomial programming | Arithmetic-geometric mean inequality | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | MM algorithm | Linearly constrained quadratic programming | Combinatorics | 26D07 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TUTORIAL | Algorithms | Studies | Quadratic programming | Analysis | signomial programming | global convergence | arithmetic-geometric mean inequality | penalty method | geometric programming | linearly constrained quadratic program-ming | parameter separation

Global convergence | Parameter separation | Theoretical, Mathematical and Computational Physics | Mathematics | Penalty method | Geometric programming | Signomial programming | Arithmetic-geometric mean inequality | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | MM algorithm | Linearly constrained quadratic programming | Combinatorics | 26D07 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TUTORIAL | Algorithms | Studies | Quadratic programming | Analysis | signomial programming | global convergence | arithmetic-geometric mean inequality | penalty method | geometric programming | linearly constrained quadratic program-ming | parameter separation

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2019, Volume 2019, Issue 1, pp. 1 - 18

In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply...

26A42 | Taylor’s theorem | 26A51 | Higher order derivative | Logarithmic integral | 33B20 | 33B10 | Mathematics | Young’s integral inequality | Exponential integral | Lebesgue measure | 41A58 | Inverse function | Analysis | Existence of partitions of unity | Mathematics, general | Norm | Applications of Mathematics | 26A48 | 26D07 | Application | 26D15 | 26D05 | MATHEMATICS, APPLIED | HERMITE-HADAMARD TYPE | STIRLING NUMBERS | ALPHA | Taylor's theorem | MATHEMATICS | PRODUCT | Young's integral inequality | Norms | Derivatives | Integrals | Differential geometry | Combinatorial analysis

26A42 | Taylor’s theorem | 26A51 | Higher order derivative | Logarithmic integral | 33B20 | 33B10 | Mathematics | Young’s integral inequality | Exponential integral | Lebesgue measure | 41A58 | Inverse function | Analysis | Existence of partitions of unity | Mathematics, general | Norm | Applications of Mathematics | 26A48 | 26D07 | Application | 26D15 | 26D05 | MATHEMATICS, APPLIED | HERMITE-HADAMARD TYPE | STIRLING NUMBERS | ALPHA | Taylor's theorem | MATHEMATICS | PRODUCT | Young's integral inequality | Norms | Derivatives | Integrals | Differential geometry | Combinatorial analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 20

In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of
(
h
,
m
)
$(h,m)$
-convexity,...

41A55 | ( h , m ) $(h,m)$ -convex functions | ( α , m ) $(\alpha,m)$ -convex functions | 26A51 | k -fractional integrals | 26D20 | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | 26D07 | k-fractional integrals | (h, m) -convex functions | (α, m) -convex functions | MATHEMATICS | PREINVEX FUNCTIONS | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS | QUASI-CONVEX | (alpha, m)-convex functions | CONVEX-FUNCTIONS | (h, m)-convex functions | S-CONVEX | DERIVATIVES | HERMITE-HADAMARD INEQUALITIES | Integrals | Inequalities | Convexity

41A55 | ( h , m ) $(h,m)$ -convex functions | ( α , m ) $(\alpha,m)$ -convex functions | 26A51 | k -fractional integrals | 26D20 | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | 26D07 | k-fractional integrals | (h, m) -convex functions | (α, m) -convex functions | MATHEMATICS | PREINVEX FUNCTIONS | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS | QUASI-CONVEX | (alpha, m)-convex functions | CONVEX-FUNCTIONS | (h, m)-convex functions | S-CONVEX | DERIVATIVES | HERMITE-HADAMARD INEQUALITIES | Integrals | Inequalities | Convexity

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.