Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions

Mathematics

Jaya Bisht¹  Shashi Kant Mishra¹  Nidhi Sharma¹  Kin Keung Lai² 

[1] Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India;International Business School, Shaanxi Normal University, Xi’an 710119, China;

关键词: Hermite–Hadamard inequalities;    harmonical convex functions;    interval-valued functions;    fractional integrals;   

DOI  :  10.3390/math10020264

来源: DOAJ

【 摘 要 】

We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued Riemann–Liouville fractional integrals. Further, we prove fractional Hermite–Hadamard-type inclusions for the product of two harmonically h-preinvex interval-valued functions. In this way, these findings include several well-known results and newly obtained results of the existing literature as special cases. Moreover, applications of the main results are demonstrated by presenting some examples.

【 授权许可】

Unknown