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The Pečarić Journal of Mathematical Inequalities (PJMI)

ISSN: xxxx-xxxx (Online) xxxx-xxxx (Print)
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  • Research article

Study of a new class of integral inequalities

Christophe Chesneau1
1Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France
Copyright © Christophe Chesneau. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 08/02/2026
  • Accepted: 02/03/2026
  • Published: 08/03/2026

Abstract

This article introduces and analyzes a new class of integral inequalities relating the integrals of two functions over different intervals. Using classical tools such as the Hermite-Hadamard, Steffensen and Young integral inequalities, we derive several refined bounds under monotonicity and convexity assumptions.

Keywords: integral inequalities, Hermite-Hadamard integral inequality, Steffensen integral inequality, Young integral inequality