On Error Bounds for Milne-Mercer type inequalities through differentiable s-convex functions

Abstract

This study presents Milne-Mercer-type inequalities for a specific integral connected to differentiable s-convex functions using conformable fractional operators. Furthermore, we introduce novel findings that extend and generalize specific known inequalities in current literature. We examine additional cases where the derivative functions are both Lipschitzian and bounded.

Bouharket B., Noureddine A. (2025) "On Error Bounds for Milne-Mercer type inequalities through differentiable s-convex functions ", Dolomites Research Notes on Approximation, 18(1), 91-105. DOI: 10.25430/pupj-DRNA-2025-1-8  
Year of Publication
2025
Journal
Dolomites Research Notes on Approximation
Volume
18
Issue Number
1
Start Page
91
Last Page
105
Date Published
09/2025
ISSN Number
2035-6803
Serial Article Number
8
DOI
10.25430/pupj-DRNA-2025-1-8
Issue
Section
Articles