Cauchy type means for some generalized convex functions

Journal of inequalities and applications

Naila Mehreen¹  Matloob Anwar¹ 

[1] School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, Pakistan;

关键词: Cauchy mean value theorem;    Jensen’s inequality;    Hermite–Hadamard inequality;    p;    s;   

DOI  :  10.1186/s13660-021-02647-2

来源: Springer

【 摘 要 】

In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense. Also, by using Hermite–Hadamard inequalities for the respective generalized convex functions, we find new generalized Cauchy type means.

【 授权许可】

CC BY