Abstract

The present paper aims to establish certain new classes of integral inequalities for a class of n (nin mathbb{N}) positive continuous and decreasing functions by utilizing the generalized fractional conformable integral operators (FCIO) recently defined by Khan and Khan. From these results, we also derive several particular cases.

Highlights

  • Fractional calculus earned more recognition due to its applications in diverse domains

  • Recent research focuses on developing a large number of the fractional integral operators (FIO) and their applications in multiple disciplines of sciences

  • Dahmani [8] generalized the work of [15] involving the Riemann–Liouville fractional integral operators

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Summary

Introduction

Fractional calculus earned more recognition due to its applications in diverse domains. In [9], Dahmani and Tabharit introduced weighted Grüss type inequalities involving fractional integral operators. Polya–Szego and Chebyshev type inequalities involving the Riemann–Liouville fractional integral operators are found in [19]. In [28], Set et al established generalized Grüss type inequalities for k-fractional integrals and applications.

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