New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications

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Kashuri Artion; Ali Muhammad Aamir; ABBAS MUJAHID; budak huseyin

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Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2019 | Volume:10 | Issue:2 Page(s): 275-299

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Title

New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications

Author(s)

Kashuri Artion | Ali Muhammad Aamir | ABBAS MUJAHID | budak huseyin | Issue Writer Certificate

Keywords

Trapezium inequality

Ostrowski inequality

Simpson inequality

convexity

general fractional integrals

Abstract

In the present work, we prove a parametrized identity for a di erentiable function via generalized integral operators. By applying the established identity and the new so{called generalized m-convex function, some generalized trapezium, Ostrowski and Simpson type integral inequalities have been discovered. Various special cases have been studied as well. Some applications of the present results to special means and new error estimates for the trapezium and midpoint quadrature formula have been investigated. It is hoped that the methods and techniques of this paper could further stimulate the research conducted in the eld of integral inequalities.

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APA: Copy

Kashuri, Artion, Ali, Muhammad Aamir, ABBAS, MUJAHID, & budak, huseyin. (2019). New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 10(2), 275-299. SID. https://sid.ir/paper/340930/en

Vancouver: Copy

Kashuri Artion, Ali Muhammad Aamir, ABBAS MUJAHID, budak huseyin. New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2019;10(2):275-299. Available from: https://sid.ir/paper/340930/en

IEEE: Copy

Artion Kashuri, Muhammad Aamir Ali, MUJAHID ABBAS, and huseyin budak, “New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 10, no. 2, pp. 275–299, 2019, [Online]. Available: https://sid.ir/paper/340930/en

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