Author:
Ekinci Alper, ,Set Erhan,Abdeljawad Thabet,Mlaiki Nabil, , ,
Abstract
<abstract><p>The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the $ F $-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as well as Hölder's inequality, was used to obtain the new results. Also we obtain some results for convex and strongly convex functions by utilizing these inequalities.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference17 articles.
1. G. A. Anastassiou, Ostrowski type inequalities, Proc. Amer. Math. Soc., 123 (1995), 3775–3781. https://doi.org/10.1090/S0002-9939-1995-1283537-3
2. M. Adamek, On a problem connected with strongly convex functions, Math. Inequal. Appl., 19 (2016), 1287–1293. https://doi.org/10.7153/mia-19-94
3. M. Adamek, On Hermite-Hadamard type inequalities for $F$-convex functions, J. Math. Inequal., 14 (2020), 867–874. https://doi.org/10.7153/jmi-2020-14-56
4. M. W. Alomari, M. M. Almahameed, Ostrowski's type inequalities for functions whose first derivatives in absolute value are MN-convex, Turkish J. Ineq., 1 (2017), 53–77.
5. M. Alomari, M. Darus, Some Ostrowski type inequalities for convex functions with applications, RGMIA, 13 (2010), 1–11.
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