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

Authors :
Rahman, Gauhar
Vivas-Cortez, Miguel
Yildiz, Çetin
Samraiz, Muhammad
Mubeen, Shahid
Yassen, Mansour F.
Source :
Fractal & Fractional. Sep2023, Vol. 7 Issue 9, p683. 12p.
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
7
Issue :
9
Database :
Academic Search Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
172392640
Full Text :
https://doi.org/10.3390/fractalfract7090683