Chebyshev-type fractional inequalities via $(k, \psi )$-Hilfer operator

Document Type : Research Paper

Authors

1 Laboratory of Informatics and Mathematics, Faculty of Material Sciences, University of Tiaret, Algeria

2 Faculty of Sciences, University Center Nour Bachir, El Bayadh, Algeria

3 University Belhadj Bouchaib Ain Temouchent, Ain Temouchent, Algeria

10.22075/ijnaa.2024.33464.4987

Abstract

In this paper, we use the $(k, \psi)$-Hilfer fractional integral of functions with respect to another function to generalize Chebyshev-type fractional integral inequalities. Some inequalities involving $(k, \psi)$-Hilfer fractional integrals are also to be proved.

Keywords

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Articles in Press, Corrected Proof
Available Online from 27 June 2024
  • Receive Date: 07 March 2024
  • Revise Date: 02 April 2024
  • Accept Date: 04 April 2024