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Hermite-Hadamard type inequalities for F-convex function involving fractional integrals. [PDF]
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.
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Convex Functions on Convex Polytopes [PDF]
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
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Association of Jensen’s inequality for s-convex function with Csiszár divergence
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
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On an Inequality for Convex Functions [PDF]
H. D. Brunk
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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
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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
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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
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The Properties of Harmonically cr-h-Convex Function and Its Applications
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
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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
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