Results 1 to 10 of about 11,050,393 (374)

Hermite-Hadamard type inequalities for F-convex function involving fractional integrals. [PDF]

open access: yesJ Inequal Appl, 2018
In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function.
Mohammed PO, Mohammed PO, Sarikaya MZ.
europepmc   +2 more sources

Convex Functions on Convex Polytopes [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1968
The behavior of convex functions is of interest in connection with a wide variety of optimization problems. It is shown here that this behavior is especially simple, in certain respects, when the domain is a polytope or belongs to certain classes of sets closely related to polytopes; moreover, the polytopes and related classes are actually ...
David Gale   +2 more
openalex   +3 more sources

Association of Jensen’s inequality for s-convex function with Csiszár divergence

open access: yesJournal of Inequalities and Applications, 2019
In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan   +4 more
doaj   +2 more sources

Convex functions [PDF]

open access: goldBulletin of the American Mathematical Society, 1948
E. F. Beckenbach
openalex   +3 more sources

On an Inequality for Convex Functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1956
H. D. Brunk
openalex   +2 more sources

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

open access: yesAxioms, 2023
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj   +1 more source

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
S. Butt   +3 more
semanticscholar   +1 more source

Some Refinements of Hermite–Hadamard Type Integral Inequalities Involving Refined Convex Function of the Raina Type

open access: yesAxioms, 2023
The aim of this work is to elaborate and define the idea of refined convex function of the Raina type. In addition, we have attained some associated properties in the manner of the newly introduced idea.
Muhammad Tariq   +2 more
doaj   +1 more source

The Properties of Harmonically cr-h-Convex Function and Its Applications

open access: yesMathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu   +3 more
semanticscholar   +1 more source

New Ostrowski type inequalities for generalized s-convex functions with applications to some special means of real numbers and to midpoint formula

open access: yesAIMS Mathematics, 2022
In this paper we establish new Ostrowski type inequalities related to the notion s-$ \varphi $-convex functions (see [37]), were $ f\in C^n([a, b]) $ with $ f^{(n)}\in L([a, b]) $ and we give some applications to some special means, the midpoint formula ...
Praveen Agarwal   +3 more
doaj   +1 more source

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