On gMT- and gβ-convexity and the Ostrowski type inequalities

Authors

DOI:

https://doi.org/10.31489/2025m2/147-162

Keywords:

gMT- convexity, gβ-convexity, power mean inequality, generalized Riemann-Liouville fractional integrals

Abstract

In this study, motivated by recent results on Ostrowski-type inequalities, we introduce a new identity that serves as a basis for establishing fractional Ostrowski inequalities. Specifically, we focus on functions whose modulus of the first derivatives are gMT-convex and gβ-convex. This approach allows us to extend classical results to more general settings. Several special cases are discussed, recovering known inequalities while highlighting the versatility of our method.

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Published

2025-06-30

How to Cite

Lakhal, F., & Meftah, B. (2025). On gMT- and gβ-convexity and the Ostrowski type inequalities. Bulletin of the Karaganda University. Mathematics Series, 118(2), 147–162. https://doi.org/10.31489/2025m2/147-162

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Section

MATHEMATICS