Some Integral Inequalities of (s, p)-Convex Functions Via Fractional Integrals

Authors

  • N. Mehreen
  • M. Anwar

Keywords:

Hermite-Hadamard inequality, Riemann-Liouville fractional integrals, harmonically convex functions, s-convex functions, p-convex functions; (s, p)-convex functions.

Abstract

In this paper, we introduce the notion of (s, p)-convex functions and establish an integral equality and some Hermite-Hadamard type integral inequalities of (s, p)-convex functions in fractional form. Also give some Hermite-Hadamard type integral inequalities of product of two (s, p)-convex functions in fractional form.

Key words and phrases. Hermite-Hadamard inequality, Riemann-Liouville fractional integrals, harmonically convex functions, s-convex functions, p-convex functions; (s, p)-convex functions.

2000 Mathematics Subject Classification. 26D15, 26A51

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Published

2025-05-18

How to Cite

N. Mehreen, & M. Anwar. (2025). Some Integral Inequalities of (s, p)-Convex Functions Via Fractional Integrals. Jordan Journal of Mathematics and Statistics, 14(3), 411–435. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/791

Issue

Vol. 14 No. 3 (2021)

Section

Articles