Quantum estimates of ostrowski inequalities for generalized ϕ-convex functions

Miguel J. Vivas-Cortez, Artion Kashuri, Rozana Liko, Jorge E.Hernández Hernández

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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.

Original languageEnglish
Article number1513
JournalSymmetry
Volume11
Issue number12
DOIs
StatePublished - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019 by the authors.

Keywords

  • Generalized convexity
  • Ostrowski inequality
  • Quantum estimates
  • Raina's function

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