Open AccessFractional Integral Inequalities for Some Convex Functions
Author(s) -
Bahtiyar Bayraktar,
AUTHOR_ID,
А.Х. Аттаев,
AUTHOR_ID
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m4/14-27
Subject(s) - mathematics , convex function , logarithm , inequality of arithmetic and geometric means , inequality , young's inequality , regular polygon , pure mathematics , jensen's inequality , mathematical analysis , convex analysis , hölder's inequality , convex optimization , rearrangement inequality , log sum 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.