Association of Jensen’s inequality for s-convex function with Csiszár divergence [PDF]
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
s-convex functions on discrete time domains [PDF]
AbstractIn the present work, we give the definition of ...
Yaldız, Hatice, Agarwal, P.
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On Fejer type inequalities for products convex and s-convex functions [PDF]
In this paper, we first obtain some new Fejer type inequalities for products of convex and s-convex mappings. Then, some Fejer type inequalities for products of two s-convex function are established.
Budak, Hüseyin, Bakış, Yonca
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Generalized Convex Function and Associated Petrovic’s Inequality [PDF]
In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-
A. Ur. Rehman +2 more
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On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru +2 more
core +6 more sources
Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex [PDF]
Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US +4 more
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On some inequalities for s-convex functions and applications [PDF]
Abstract Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided. MSC:26A51, 26D15.
Ozdemir, Muhamet Emin +6 more
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On new general integral inequalities for s-convex functions [PDF]
In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well.
Imdat Iscan, Erhan Set, M. Emin Özdemir
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On new general inequalities for s-convex functions and their applications
AbstractIn this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally,
YILDIZ, Çetin +2 more
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Coordinate strongly s-convex functions and related results [PDF]
Summary: In this article, we give non-trivial examples of coordinates-convex functions which are not \(s\)-convex functions. Also, we present a new class of coordinate strongly \(s\)-convex functions. We prove that every strongly \(s\)-convex function is coordinate strongly \(s\)-convex function but the converse is not generally true.
Ullah, Syed Zaheer +3 more
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