Some inequalities for cr-log-h-convex functions

Journal of Inequalities and Applications

Research

Wei Liu¹  Fangfang Shi¹  Guoju Ye¹  Dafang Zhao² 

[1] College of Science, Hohai University, 210098, Nanjing, China;School of Mathematics and Statistics, Hubei Normal University, 435002, Huangshi, China;

关键词: Interval-valued function;    cr;    Jensen-type inequality;    Hermite–Hadamard-type inequality;    Fejér-type inequality;    26A33;    26A51;    26D10;   

DOI  :  10.1186/s13660-022-02900-2

 received in 2022-05-19, accepted in 2022-12-12,  发布年份 2022

来源: Springer

【 摘 要 】

The main purpose of this paper is to study certain inequalities for cr-log-h-convex functions with an interval value. To this end, we first give a definition of cr-log-h-convexity of interval-valued functions under the cr-order and study some properties of such functions. On this basis, we establish the Jensen-, Hermite–Hadamard-, and Fejér-type inequalities for cr-log-h-convex functions, and discuss some special cases. In addition, we give some numerical examples to illustrate the accuracy of the results obtained.

【 授权许可】

CC BY   
© The Author(s) 2022

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