Fuzzy Ostrowski type inequalities via h-convex
Abstract
We would like to state well-known Ostrowski inequality via h-convex by using the Fuzzy Reimann integrals. In addition, we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are h-convex by Holder’s and power mean inequalities. This class of h-convex function, which is the generalization of many important classes including class of Godunova-Levin s-convex, s-convex in the 2nd kind and hence contains convex functions. It also contains class of P-convex and class of Godunova-Levin. In this way we also capture the results with respect to convexity of functions.
Copyright © 2021 Ali Hassan, Asif Raza Khan, Faraz Mehmood, Maria Khan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. Hassan, A. R. Khan, F. Mehmood, M. Khan, Fuzzy Ostrowski type inequalities via h-convex, J. Math. Comput. Sci. 12 (2022), 4. https://doi.org/10.28919/jmcs/6794
BibTeX
@article{Hassan2022,
author = {Hassan, Ali and Khan, Asif Raza and Mehmood, Faraz and Khan, Maria},
title = {Fuzzy Ostrowski type inequalities via h-convex},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {4},
doi = {10.28919/jmcs/6794}
}