Quantum estimates of ostrowski inequalities for generalized ϕ-convex functions
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Date
2019
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Abstract
In this paper, the study is focused on the quantum estimates of Ostrowski type inequalities for q-differentiable functions involving the special function introduced by R.K. Raina which depends on certain parameters. Our methodology involves Jackson’s q-integral, the basic concepts of quantum calculus, and a generalization of a class of special functions used in the frame of convex sets and convex functions. As a main result, some quantum estimates for the aforementioned inequality are established and some cases involving the special hypergeometric and Mittag–Leffler functions have been studied and some known results are deduced.
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Funciones convexas, Desigualdades integrales, Funciones convexas, Desigualdades integrales