Work

Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

Year: 2024

Type: article

Abstract: In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for functions whose derivatives have convex absolute values. A new condition for bounded variation functions is examined, as well as expansions to bounded and Lipschitzian derivatives. Our comprehension is improved by comparison with current findings, and recommendations for future study areas are given.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8090534

Authors: Areej A. Almoneef, Abd-Allah Hyder, Mohamed A. Barakat, Hüseyin Budak

Institutions: Princess Nourah bint Abdulrahman University, King Khalid University, Al-Azhar University, University of Tabuk, Düzce Üniversitesi

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funders: Princess Nourah Bint Abdulrahman University, King Khalid University