International Journal of Nonlinear Analysis and Applications

Estimate the Bullen inequality for h-convex functions

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Tiaret, Algeria

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

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

Abstract

This paper establishes Bullen inequalities for h-convex functions using Riemann-Liouville fractional operators. In addition, a novel fractional version with a relatively easy calculation utilizing the B-function is presented, which generalizes numerous inequalities known in the literature.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 15 May 2025
  • Receive Date: 12 May 2024
  • Revise Date: 23 May 2024
  • Accept Date: 22 September 2024