Hermite-Hadamard Inequalities for a New Class of Generalized-(s,m) via Fractional Integral

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Türk Doğa ve Fen Dergisi
Issue:1 Special Issue
Hermite-Hadamard Inequalities for a New Class of Generalized-(s,m) via Fractional Integral

Hermite-Hadamard Inequalities for a New Class of Generalized-(s,m) via Fractional Integral

Authors : Erdal Gül, Ahmet Ocak Akdemir, Abdüllatif Yalçın

Pages : 109-115

Doi:10.46810/tdfd.1423351

View : 103 | Download : 80

Publication Date : 2024-10-01

Article Type : Research Paper

Abstract :This paper defines a new generalized (s,m)-σ convex function using the σ convex functions and provides some applications and exact results for this kind of functions. The new definition of the (s,m)-σ convex function class is used to obtain the Hermite Hadamard type integral inequalities existing in the literature, and new integral inequalities are obtained with the help of the σ-Riemann-Liouville fractional integral. Additionally, a new Hermite-Hadamard type fractional integral inequality is constructed using the σ-Riemann-Liouville fractional integral.
Keywords : HermiteHadamard inequality, fractional İntegral operator, Convex function, σ convex function, s m σ convex function

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