INEQUALITIES VIA MEAN FUNCTIONS USING E - CONVEXITY
By
D. B. Ojha and Himanshu Tiwari
Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India-302004
Email: maildpost@gmail.com, hmtiwari1997@gmail.com
(Received: October 10, 2022; In format: February 14, 2023; Received: February 22, 2023; Accepted: February 28, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53118
Abstract
In this paper, we extend the concept of GG - convexity to GG- E - convexity and then we derived some new integral inequalities for GG- E - convex function using Holder’s integral inequalities. Enough examples are given to verify the obtained results.
2020 Mathematical Sciences Classification: 26A51, 26D10, 26D15
Keywords and Phrases: Convex function, E - convex set, E - convex function, E - concave function, GG- E - convex function, GG- E - concave function, Holder integral inequality.
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