On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds-Reference-Cited by-同舟云学术

On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds

Published:2023-09-14 Issue:9 Volume:7 Page:683
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Rahman Gauhar¹^ORCID,Vivas-Cortez Miguel²^ORCID,Yildiz Çetin³^ORCID,Samraiz Muhammad⁴^ORCID,Mubeen Shahid⁴^ORCID,Yassen Mansour F.⁵⁶^ORCID

Affiliation:

1. Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan

2. Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076 y Roca, Quito 170143, Ecuador

3. Department of Mathematics, K.K. Education Faculty, Atatürk University, Erzurum 25240, Turkey

4. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

5. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Kharj 11912, Saudi Arabia

6. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Damietta, Egypt

Abstract

The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations. In this work, Ostrowski-type inequality is demonstrated using the generalized fractional integral operators. From an application perspective, we present the bounds of the fractional Hadamard inequalities. The results that are being presented involve a number of fractional inequalities that are already known and have been published.

Funder

Pontificia Universidad Católica del Ecuador, Proyecto Título

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/9/683/pdf

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