2012, Mathematical surveys and monographs, ISBN 9780821890868, Volume no. 184., xi, 171

Book

2016, Graduate studies in mathematics, ISBN 9780821848418, Volume 172, xi, 461

Random matrices (probabilistic aspects; for algebraic aspects see 15B52) | Equations of mathematical physics and other areas of application | Partial differential equations | Approximations and expansions | Probability theory and stochastic processes | Special matrices | Operator theory | Probability theory on algebraic and topological structures | Riemann-Hilbert problems | Exact enumeration problems, generating functions | Convex and discrete geometry | Special classes of linear operators | Combinatorics | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) | Time-dependent statistical mechanics (dynamic and nonequilibrium) | Enumerative combinatorics | Exactly solvable dynamic models | Linear and multilinear algebra; matrix theory | Special processes | Statistical mechanics, structure of matter | Toeplitz operators, Hankel operators, Wiener-Hopf operators | Tilings in $2$ dimensions | Interacting random processes; statistical mechanics type models; percolation theory | Discrete geometry | Random matrices | Combinatorial analysis

Book

Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 10

The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized...

33E12 | 26A51 | Analysis | Mittag-Leffler function | 26A33 | Riemann–Lioville fractional integrals | Mathematics, general | Mathematics | Applications of Mathematics | 26B25 | Fractional integrals | ( h − m ) $(h-m)$ -convex functions | MATHEMATICS | MATHEMATICS, APPLIED | Riemann-Lioville fractional integrals | (h-m)-convex functions | HERMITE-HADAMARD | CONVEX FUNCTIONS | Operators (mathematics) | Integrals | Convex analysis | Inequalities

33E12 | 26A51 | Analysis | Mittag-Leffler function | 26A33 | Riemann–Lioville fractional integrals | Mathematics, general | Mathematics | Applications of Mathematics | 26B25 | Fractional integrals | ( h − m ) $(h-m)$ -convex functions | MATHEMATICS | MATHEMATICS, APPLIED | Riemann-Lioville fractional integrals | (h-m)-convex functions | HERMITE-HADAMARD | CONVEX FUNCTIONS | Operators (mathematics) | Integrals | Convex analysis | Inequalities

Journal Article

1973, Pure and applied mathematics; a series of monographs and textbooks, ISBN 0125897405, Volume 57., xx, 300

Book

2010, Encyclopedia of mathematics and its applications, ISBN 0521850053, Volume 109, x, 521

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and...

Geometry, Non-Euclidean | Convex functions | Banach spaces

Geometry, Non-Euclidean | Convex functions | Banach spaces

Book

2010, Encyclopedia of mathematics and its applications, ISBN 0521850053, Volume 109.

Web Resource

2006, CMS books in mathematics, ISBN 9780387243009, xvi, 254

Book

Applied Mathematics Letters, ISSN 0893-9659, 2010, Volume 23, Issue 10, pp. 1188 - 1192

In the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk whose...

Starlike functions | Analytic functions | Inverse functions | Univalent functions | Bi-univalent functions | Koebe function | Coefficient bounds | Taylor–Maclaurin series | Convex functions | Bi-convex functions | Strongly bi-starlike functions | Bi-starlike functions | Taylor-Maclaurin series | MATHEMATICS, APPLIED | COEFFICIENT

Starlike functions | Analytic functions | Inverse functions | Univalent functions | Bi-univalent functions | Koebe function | Coefficient bounds | Taylor–Maclaurin series | Convex functions | Bi-convex functions | Strongly bi-starlike functions | Bi-starlike functions | Taylor-Maclaurin series | MATHEMATICS, APPLIED | COEFFICIENT

Journal Article

1992, Mathematics in science and engineering, ISBN 0125492502, Volume 187, xiii, 469

Book

10.
Full Text
Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions

Aequationes mathematicae, ISSN 0001-9054, 12/2012, Volume 84, Issue 3, pp. 261 - 269

In the paper the authors introduce concepts of the m- and (α, m)-geometrically convex functions and establish some inequalities of Hermite–Hadamard type for...

m -geometrically convex function | integral identity | Analysis | Hölderinequality | Mathematics | Secondary 26A51 | Combinatorics | Primary 26D15 | ( α , m )-geometrically convex function | Hermite–Hadamard type inequality | Hermite-Hadamard type inequality | m-geometrically convex function | (α, m)-geometrically convex function | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS | Holder inequality | FORMULA | (alpha, m)-geometrically convex function | REAL NUMBERS | Geometry | Applied mathematics | Mathematical analysis | Inequalities

m -geometrically convex function | integral identity | Analysis | Hölderinequality | Mathematics | Secondary 26A51 | Combinatorics | Primary 26D15 | ( α , m )-geometrically convex function | Hermite–Hadamard type inequality | Hermite-Hadamard type inequality | m-geometrically convex function | (α, m)-geometrically convex function | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS | Holder inequality | FORMULA | (alpha, m)-geometrically convex function | REAL NUMBERS | Geometry | Applied mathematics | Mathematical analysis | Inequalities

Journal Article

2003, 1st ed., North-Holland mathematics studies, ISBN 9780444500564, Volume 193, 305

All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces. However, the theory without convexity condition...

Convex surfaces | Holomorphic functions | Functional analysis | Complexes | Convexity spaces | Functions of complex variables

Convex surfaces | Holomorphic functions | Functional analysis | Complexes | Convexity spaces | Functions of complex variables

eBook

Mathematical Programming, ISSN 0025-5610, 8/2013, Volume 140, Issue 1, pp. 125 - 161

In this paper we analyze several new methods for solving optimization problems with the objective function formed as a sum of two terms: one is smooth and...

68Q25 | Theoretical, Mathematical and Computational Physics | Mathematics | Complexity theory | Black-box model | Local optimization | l_1$$ -Regularization | Mathematical Methods in Physics | Optimal methods | Structural optimization | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | 90C47 | Numerical Analysis | Convex Optimization | Nonsmooth optimization | Combinatorics | 1-Regularization | MATHEMATICS, APPLIED | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DECONVOLUTION | MINIMIZATION | l-Regularization | Studies | Mathematical models | Optimization | Mathematical programming | Composite functions | Computation | Mathematical analysis | Iterative methods | Descent | Convergence

68Q25 | Theoretical, Mathematical and Computational Physics | Mathematics | Complexity theory | Black-box model | Local optimization | l_1$$ -Regularization | Mathematical Methods in Physics | Optimal methods | Structural optimization | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | 90C47 | Numerical Analysis | Convex Optimization | Nonsmooth optimization | Combinatorics | 1-Regularization | MATHEMATICS, APPLIED | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DECONVOLUTION | MINIMIZATION | l-Regularization | Studies | Mathematical models | Optimization | Mathematical programming | Composite functions | Computation | Mathematical analysis | Iterative methods | Descent | Convergence

Journal Article

Maejo International Journal of Science and Technology, ISSN 1905-7873, 12/2015, Volume 9, Issue 3, pp. 394 - 402

Some new integral inequalities of Hermite-Hadamard type for the product of strongly logarithmically convex functions and other convex functions such as the...

Integral inequality | M-convex function | P-convex function | Hermite-Hadamard type inequality | S-convex function | (α,M)-convex function | Hölder inequality | Quasi-convex function | Strongly logarithmically convex function | MULTIDISCIPLINARY SCIENCES | Holder inequality | (alpha,m)-convex function | ALPHA | strongly logarithmically convex function | quasi-convex function | s-convex function | integral inequality | m-convex function | Integrals | Inequalities

Integral inequality | M-convex function | P-convex function | Hermite-Hadamard type inequality | S-convex function | (α,M)-convex function | Hölder inequality | Quasi-convex function | Strongly logarithmically convex function | MULTIDISCIPLINARY SCIENCES | Holder inequality | (alpha,m)-convex function | ALPHA | strongly logarithmically convex function | quasi-convex function | s-convex function | integral inequality | m-convex function | Integrals | Inequalities

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 02/2017, Volume 145, Issue 2, pp. 791 - 804

In this paper we introduce new notions of starlikeness for a class of functions of a hypercomplex variable. We then obtain equivalent formulations for...

Starlikeness and starlike or star-shaped function | Regular functions of one quaternionic variable | Univalent functions | Convexity and convex-function | MATHEMATICS | starlikeness and starlike or star-shaped function | MATHEMATICS, APPLIED | THEOREM | univalent functions | convexity and convex-function | QUATERNIONIC FUNCTIONS

Starlikeness and starlike or star-shaped function | Regular functions of one quaternionic variable | Univalent functions | Convexity and convex-function | MATHEMATICS | starlikeness and starlike or star-shaped function | MATHEMATICS, APPLIED | THEOREM | univalent functions | convexity and convex-function | QUATERNIONIC FUNCTIONS

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 8/2018, Volume 15, Issue 4, pp. 1 - 19

The purpose of the present paper is to investigate some subordination, other properties and inclusion relations for functions in certain subclasses of...

linear operator | 30C45 | 30C50 | Mathematics, general | Mathematics | p -valent functions | Differential subordination | Mittag–Leffler function | p-valent functions | MATHEMATICS | MATHEMATICS, APPLIED | CONVEX | Mittag-Leffler function

linear operator | 30C45 | 30C50 | Mathematics, general | Mathematics | p -valent functions | Differential subordination | Mittag–Leffler function | p-valent functions | MATHEMATICS | MATHEMATICS, APPLIED | CONVEX | Mittag-Leffler function

Journal Article

Computational Optimization and Applications, ISSN 0926-6003, 12/2018, Volume 71, Issue 3, pp. 673 - 717

This paper proposes an algorithm for the unconstrained minimization of a class of nonsmooth and nonconvex functions that can be written as finite-max...

Gradient sampling | Global convergence | Operations Research/Decision Theory | Convex and Discrete Geometry | Local superlinear convergence | Unconstrained minimization | Mathematics | Operations Research, Management Science | Statistics, general | Nonsmooth nonconvex optimization | Optimization | MATHEMATICS, APPLIED | BUNDLE METHODS | ALGORITHM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | CONVEX | CONVERGENCE | NONSMOOTH | OPTIMIZATION | NONCONVEX | NEWTON | Analysis | Methods | Algorithms | Sampling | Mathematics - Optimization and Control

Gradient sampling | Global convergence | Operations Research/Decision Theory | Convex and Discrete Geometry | Local superlinear convergence | Unconstrained minimization | Mathematics | Operations Research, Management Science | Statistics, general | Nonsmooth nonconvex optimization | Optimization | MATHEMATICS, APPLIED | BUNDLE METHODS | ALGORITHM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | CONVEX | CONVERGENCE | NONSMOOTH | OPTIMIZATION | NONCONVEX | NEWTON | Analysis | Methods | Algorithms | Sampling | Mathematics - Optimization and Control

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 07/2013, Volume 219, Issue 21, pp. 10538 - 10547

For the -function, we derive several properties and characteristics related to convexity, log-convexity and complete monotonicity. Similar properties and...

Completely monotonic functions | Log-convex functions | [formula omitted]-Gamma function | [formula omitted]-Psi function | Young’s inequality | Borel measure | Laplace transforms | Logarithmically completely monotonic functions | Log-convex functions (p, q) -Gamma function (p, q) Psi | function | Young's inequality | Q-ANALOG | MATHEMATICS, APPLIED | INEQUALITIES | (p, q)-Psi function | ZETA | (p, q)-Gamma function | GENERALIZED GAMMA | Mathematical models | Convexity | Computation | Mathematical analysis

Completely monotonic functions | Log-convex functions | [formula omitted]-Gamma function | [formula omitted]-Psi function | Young’s inequality | Borel measure | Laplace transforms | Logarithmically completely monotonic functions | Log-convex functions (p, q) -Gamma function (p, q) Psi | function | Young's inequality | Q-ANALOG | MATHEMATICS, APPLIED | INEQUALITIES | (p, q)-Psi function | ZETA | (p, q)-Gamma function | GENERALIZED GAMMA | Mathematical models | Convexity | Computation | Mathematical analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2017, Volume 2017, Issue 1, pp. 93 - 12

In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some...

convex function | fractional derivative | special mean | fractional integral | Hermite-Hadamard inequality | trapezoidal formula | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | CONVEX-FUNCTIONS | HADAMARD-TYPE INEQUALITIES | Error analysis | Real numbers | Integrals | Inequalities | 26A51 | 26A33 | Research | 26D15

convex function | fractional derivative | special mean | fractional integral | Hermite-Hadamard inequality | trapezoidal formula | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | CONVEX-FUNCTIONS | HADAMARD-TYPE INEQUALITIES | Error analysis | Real numbers | Integrals | Inequalities | 26A51 | 26A33 | Research | 26D15

Journal Article

19.
Full Text
Fractional Hermite–Hadamard inequalities for (s,m) $(s,m)$-convex or s-concave functions

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 11

In this article, fractional integral is considered. Some new upper bounds of the distance between the middle and left of Hermite–Hadamard type inequalities for...

Analysis | ( s , m ) $(s,m)$ -convex function | Mathematics, general | Riemann–Liouville fractional integrals | Mathematics | Hermite–Hadamard inequality | Applications of Mathematics | (s, m) -convex function | MATHEMATICS | MATHEMATICS, APPLIED | (s, m)-convex function | Hermite-Hadamard inequality | Riemann-Liouville fractional integrals | Upper bounds | Integrals | Inequalities

Analysis | ( s , m ) $(s,m)$ -convex function | Mathematics, general | Riemann–Liouville fractional integrals | Mathematics | Hermite–Hadamard inequality | Applications of Mathematics | (s, m) -convex function | MATHEMATICS | MATHEMATICS, APPLIED | (s, m)-convex function | Hermite-Hadamard inequality | Riemann-Liouville fractional integrals | Upper bounds | Integrals | Inequalities

Journal Article

2008, Optimization and its applications, ISBN 9780387754451, Volume 14, viii, 164

This volume summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past few decades....

Vector valued functions | Mathematical optimization | Convex functions | Technology Management | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mathematics | Operations Research, Mathematical Programming | Mathematical Modeling and Industrial Mathematics | Optimization

Vector valued functions | Mathematical optimization | Convex functions | Technology Management | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mathematics | Operations Research, Mathematical Programming | Mathematical Modeling and Industrial Mathematics | Optimization

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