Fractional Integral Inequalities for Some Convex Functions | Zendy

Bahtiyar Bayraktar | Zendy; А.Х. Аттаев | Zendy

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Fractional Integral Inequalities for Some Convex Functions

Author(s) -

Bahtiyar Bayraktar,

А.Х. Аттаев

Publication year - 2021

Publication title -

bulletin of the karaganda university-mathematics

Language(s) - English

Resource type - Journals

eISSN - 2663-5011

pISSN - 2518-7929

DOI - 10.31489/2021m4/14-27

Subject(s) - mathematics , logarithm , convex function , inequality , inequality of arithmetic and geometric means , regular polygon , young's inequality , pure mathematics , jensen's inequality , hadamard transform , mathematical analysis , convex analysis , hölder's inequality , convex optimization , rearrangement inequality , linear inequality , geometry

In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions. The results were gained by applying the double Hermite-Hadamard inequality, the classical Holder inequalities, the power mean, and weighted Holder inequalities. In particular, the application of the results for several special computing facilities is given. Some applications to special means for arbitrary real numbers: arithmetic mean, logarithmic mean, and generalized log-mean, are provided.

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