On inequalities of Hermite-Hadamard type via n " role="presentation"> n n n -polynomial exponential type s " role="presentation"> s s s -convex functions

AIMS Mathematics

article

Muhammad Samraiz¹  Kanwal Saeed¹  Saima Naheed¹  Gauhar Rahman²  Kamsing Nonlaopon³ 

[1] Department of Mathematics, University of Sargodha;Department of Mathematics and Statistics Hazara University Mansehra;Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: Hermite-Hadamard's type inequalities;    $ n $-polynomial exponential convex functions;    $ s $-convex function;    special means;    Hölder's inequality;   

DOI  :  10.3934/math.2022787

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as $ n $-polynomial exponential type $ s $-convex function, is studied. This class is established by utilizing the Hölder's inequality, which has several applications in optimization theory. Some existing results of the literature are obtained from newly explored consequences. Finally, some novel limits for specific means of positive real numbers are shown as applications.

【 授权许可】

CC BY