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

Gauhar Rahman; Miguel Vivas-Cortez; Çetin Yildiz; Muhammad Samraiz; Shahid Mubeen; Mansour F. Yassen

doi:10.3390/fractalfract7090683

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	683
Journal	Fractal and Fractional
Volume	7
Issue number	9
DOIs	https://doi.org/10.3390/fractalfract7090683
State	Published - Sep 2023

Keywords

convex functions
fractional integrals
Ostrowski inequality

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abstract = "The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski{\textquoteright}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.",

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author = "Gauhar Rahman and Miguel Vivas-Cortez and {\c C}etin Yildiz and Muhammad Samraiz and Shahid Mubeen and Yassen, \{Mansour F.\}",

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AU - Yildiz, Çetin

AU - Samraiz, Muhammad

AU - Mubeen, Shahid

AU - Yassen, Mansour F.

PY - 2023/9

Y1 - 2023/9

N2 - 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.

AB - 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.

KW - convex functions

KW - fractional integrals

KW - Ostrowski inequality

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

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Keywords

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