NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS

Yongfang Qi and Guoping Li
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Yongfang Qi: Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China
Guoping Li: ��Scientific Research Planning Division, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-11

Abstract: In this paper, we present new Hermite–Hadamard–Fejér type inequalities via Riemann–Liouville fractional integrals for the function g(τ)h(τ), where g(τ) is convex function and h(τ) is symmetric with respect to a+b 2. Our results in some special cases yield the well-known classic Hermite–Hadamard–Fejér type inequalities. At the end of the paper, the applications of our results are given.

Keywords: Hermite–Hadamard–Fejér Inequalities; Riemann–Liouville Fractional Integrals; Convex Function (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502297

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