NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR $k$-$\beta $-CONVEX FUNCTIONS VIA GENERALIZED $k$-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS

Fahim Lakhal, Meftah Badreddine

DOI Number
https://doi.org/10.22190/FUMI211001039L
First page
559
Last page
584

Abstract


In this paper, we introduce a new concept $k$-$\beta $-convex functions and establish some new Hermite-Hadamard type inequalities for functions whose derivative modulus is $k$-$\beta $-convex via $k$-fractional conformable integral operators.


Keywords

Hermite-Hadamard inequality, H\"{o}lder inequality, power mean inequality, $k$-$\beta $-convex function, generalized $k$-fractional conformable integral operators.

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References


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DOI: https://doi.org/10.22190/FUMI211001039L

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