On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds
Özet
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.
Atıf için künye
Rahman, G., Cortez, M. V., Yıldız, Ç., Samraiz, M., Mubeen, S., & Yassen, M. F. (2023). On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds. FRACTAL AND FRACTIONAL, 7(9), 1–12. https://doi.org/10.3390/fractalfract7090683
BibTeX
@article{rahman2023-146757,
author = {Rahman, Gauhar and Cortez, Miguel Vivas and Yıldız, Çetin and Samraiz, Muhammad and Mubeen, Shahid and Yassen, Mansour F.},
title = {On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds},
journal = {FRACTAL AND FRACTIONAL},
year = {2023},
volume = {7},
number = {9},
pages = {1--12},
issn = {2504-3110},
doi = {10.3390/fractalfract7090683},
url = {https://akademik.atauni.edu.tr/yayinlar/146757-on-the-generalization-of-ostrowski-type-integral-inequalities-via-fractional}
}