Results 11 to 20 of about 27,096,421 (191)

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

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

s-convex functions on discrete time domains [PDF]

open access: yesAnalysis, 2017
AbstractIn the present work, we give the definition of ...
Yaldız, Hatice, Agarwal, P.
openaire   +4 more sources

On Fejer type inequalities for products convex and s-convex functions [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2020
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
openaire   +5 more sources

Generalized Convex Function and Associated Petrovic’s Inequality [PDF]

open access: yesInternational Journal of Analysis and Applications, 2019
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
doaj   +3 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

open access: yes, 2005
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]

open access: yes, 2009
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
core   +6 more sources

On some inequalities for s-convex functions and applications [PDF]

open access: yesJournal of Inequalities and Applications, 2013
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
openaire   +6 more sources

On new general integral inequalities for s-convex functions [PDF]

open access: yesApplied Mathematics and Computation, 2014
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
openaire   +6 more sources

On new general inequalities for s-convex functions and their applications

open access: yesJournal of Inequalities and Applications, 2023
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
openaire   +4 more sources

Coordinate strongly s-convex functions and related results [PDF]

open access: yesJournal of Mathematical Inequalities, 2020
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
openaire   +1 more source

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