Title of article
New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications
Author/Authors
Kashuri, Artion Department of Mathematics - Faculty of Technical Science - University Ismail Qemali, Vlora, Albania , Ali, Muhammad Aamir School of Mathematical Sciences - Nanjing Normal University, China , Abbas, Mujahid Department of Mathematics - Government College University, Lahore 54000, Pakistan , Budak, Huseyin Department of Mathematics - Faculty of Science and Arts - Duzce University, Duzce, Turkey
Pages
25
From page
275
To page
299
Abstract
In the present work, we prove a parametrized identity for a differentiable 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 field of integral inequalities.
Keywords
general fractional integrals , convexity , Simpson inequality , Ostrowski inequality , Trapezium inequality
Serial Year
2019
Record number
2493719
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