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Hermite–Hadamard–Fejã‰R-Type Inequalities Via Katugampola Fractional Integrals For S-Convex Functions In The Second Sense

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yongfang Qi & Guoping Li & Shan Wang & Qing Zhi Wen, 2022. "Hermite–Hadamard–Fejã‰R-Type Inequalities Via Katugampola Fractional Integrals For S-Convex Functions In The Second Sense," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-11, November.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:07:n:s0218348x22501316
    DOI: 10.1142/S0218348X22501316
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    Cited by:

    1. Khan, Muhammad Bilal & Othman, Hakeem A. & Santos-García, Gustavo & Saeed, Tareq & Soliman, Mohamed S., 2023. "On fuzzy fractional integral operators having exponential kernels and related certain inequalities for exponential trigonometric convex fuzzy-number valued mappings," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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