A New Hermite — Hadamard type integral inequalities via weighted operators

Authors

  • J. E. Napoles Valdes
    UNNE, FaCENA, Argentina
  • B. Bayraktar
    Bursa Uludag University, Bursa, Turkey
  • R. Ezentas
    Bursa Uludag University, Bursa, Turkey

DOI:

https://doi.org/10.13108/2026-18-1-127

Keywords:

convexity, weighted integrals, Hermite--Hadamard inequality, $(h,m)$-convex modified functions

Abstract

In this article we demonstrate new integral inequalities of
the Hermite — Hadamard type for differentiable functions, which are $(h,m)$-convex of the second type. We show that many known results are particular cases of
ours.

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Published

08.03.2026

Issue

Vol. 18 No. 1 (2026): Ufa Mathematical Journal 2026, volume 18, issue 1

Section

Article