On some fractional integral inequalities for generalized strongly modified $h$-convex functions

AIMS Mathematics

Qi Li¹  Peiyu Yan¹  Yu Ming Chu²  Shumaila Waheed³  Sana Mukhtar³ 

[1] 1 Basic Teaching Department, Shandong Huayu University of Technology, Dezhou, Shandong 253034, China;2 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China 3 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China;4 Department of Mathematics, University of Okara, Okara, Pakistan;

关键词: generalized convex functions;    strongly convex functions;    modified h-convex function;   

DOI  :  10.3934/math.2020426

来源: DOAJ

【 摘 要 】

Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. Many generalizations of convex functions exists in literature. The main aim of the article is to develop fractional integral inequalities for generalized strongly modified h-convex functions. Based on obtained fractional type integral inequalities we give some applications to the means. Our results are extension and generalization of many existing results.

【 授权许可】

Unknown