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Article 2023 · 13 citations

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

Rahman, Gauhar, Vivas-Cortez, Miguel, Yildiz, Cetin, Samraiz, Muhammad, Mubeen, Shahid, Yassen, Mansour F.

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.

Keywords
Ostrowski inequality fractional integrals convex functions MITTAG-LEFFLER FUNCTION
WoS Categories
Mathematics, Interdisciplinary Applications
Citation
Journal
FRACTAL AND FRACTIONAL
Year
2023
Volume
7
Issue
9
eISSN
2504-3110
DOI
10.3390/fractalfract7090683
WoS UID
WOS:001071946400001
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