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Article 2023 · 5 citations

On Further Inequalities for Convex Functions via Generalized Weighted-Type Fractional Operators

Yildiz, Cetin, Rahman, Gauhar, Cotirla, Luminita-Ioana

Abstract

Several inequalities for convex functions are derived in this paper using the monotonicity properties of functions and a generalized weighted-type fractional integral operator, which allows the integration of a function ? with respect to another function in fractional order. Additionally, it is clear that the results were generalizations of the previously presented findings. In addition, different types of inequalities are obtained using the basic features of mathematical analysis. Finally, we believe that the methodology used in this work will inspire additional research in this field.

Keywords
convex functions generalized weighted-type fractional operators Minkowski inequality young inequality INTEGRALS
WoS Categories
Mathematics, Interdisciplinary Applications
Citation
Journal
FRACTAL AND FRACTIONAL
Year
2023
Volume
7
Issue
7
eISSN
2504-3110
DOI
10.3390/fractalfract7070513
WoS UID
WOS:001039439100001
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