On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds.
- Resource Type
- Article
- 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.
- Subject
- *FRACTIONAL integrals
*GENERALIZED integrals
*INTEGRAL operators
*INTEGRAL inequalities
*GENERALIZATION
*INTEGRALS
*CONVEX functions
- Language
- ISSN
- 2504-3110
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]