2-point left Radau-type inequalities via <i>s</i>-convexity-Reference-Cited by-同舟云学术

2-point left Radau-type inequalities via s-convexity

Published:2023-07-25 Issue:2 Volume:29 Page:341-346
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Meftah Badreddine¹^ORCID,Lakhdari Abdelghani²^ORCID,Saleh Wedad³^ORCID

Affiliation:

1. Department of Mathematics , 8 May 1945 University , Geulma , Algeria

2. Department CPST , National Higher School of Technology and Engineering , Annaba , Algeria

3. Department of Mathematics , Taibah University , Al-Medina , Saudi Arabia

Abstract

Abstract Convexity is a fundamental concept in analysis. Over the past few decades, many significant error bounds have been established for various quadrature rules using different types of convexity. This paper focuses on the Gauss–Radau quadrature formula. Initially, we introduce a novel identity related to 2-point left Radau-type rule. Next, we derive several integral inequalities for functions whose first derivatives are s-convex in the second sense. Finally, we present applications to special means to demonstrate the effectiveness of our results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2023-0014/pdf

Reference5 articles.

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