On gMT- and gβ-convexity and the Ostrowski type inequalities
DOI:
https://doi.org/10.31489/2025m2/147-162Keywords:
gMT- convexity, gβ-convexity, power mean inequality, generalized Riemann-Liouville fractional integralsAbstract
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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MATHEMATICS