Applications of Hölder-İşcan inequality for n " role="presentation" style="position: relative;"> n n n -times differentiable ( s , m ) " role="presentation" style="position: relative;"> ( s , m ) ( s , m ) (s, m) -convex functions

AIMS Mathematics

article

Khuram Ali Khan¹  Shaista Ayaz²  İmdat İşcan³  Nehad Ali Shah⁴  Wajaree Weera⁵ 

[1]Department of Mathematics, University of Sargodha

[2]Government Associate College for Women

[3]Department of Mathematics, Faculty of Arts and Sciences, Giresun University

[4]Department of Mechanical Engineering, Sejong University

[5]Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: $ (s;    m) $-convex function;    $ n $-times differentiable functions;    Hermite-Hadamard inequalities;    Hölder-Isçan inequality;    means;   

DOI  :  10.3934/math.2023082

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this work, Hölder-Isçan inequality is used for the class of $ n $-times differentiable $ (s, m) $-convex functions. The outcomes are new Hermite-Hadamard type inequalities and modified integrals are estimated by better bounds. Special cases are deduced as the existing results from literature. Furthermore, some applications to arithmetic, geometric and logarithmic means are also presented.

【 授权许可】

CC BY