On new Chebyshev inequalities via fractional operators

Abstract

The aim of this paper is to establish several fractional integral inequalities related to the weighted and the extended Chebyshev functional. We use generalized fractional integral operators, new conformable fractional integral operators and Saigo fractional integral operators to prove our results. This study states that our findings are more convenient and efficient than other available results.

Chebyshev-Type Inequalities Involving ( k , ψ )-Proportional Fractional Integral Operators

“…In [32], authors used the generalized Katugampola operators to establish integral inequalities for Chebyshev and extended Chebyshev functionals. In the literature, a number of mathematicians have devoted their efforts to study Chebyshev-type inequalities using various fractional operators [33][34][35][36][37][38].…”