HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE

Yongfang Qi, Guoping Li, Shan Wang and Qing Zhi Wen
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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
Shan Wang: Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China
Qing Zhi Wen: Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 07, 1-11

Abstract: The Hermite–Hadamard–Fejér-type inequality is a powerful tool for studying lower and upper estimations for the integral average of convex function. In this paper, we adopt Hölder’s inequality to establish Hermite–Hadamard–Fejér-type inequalities via Katugampola fractional integrals for the function fg, where f is an s-convex function on [a,b] and g(tÏ ) is symmetric with respect to aÏ +bÏ 2. Our results are generalizations of some earlier results. At the end of the paper, illustrative examples about Hermite–Hadamard–Fejér-type inequalities are given to support our results.

Keywords: Hermite–Hadamard–Fejér Inequalities; S-Convex Function; Katugampola Fractional Integrals (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501316

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