On Some Generalized Fractional Integral Bullen Type Inequalities With Applications

https://doi.org/10.48185/jfcns.v2i2.390

Authors

Keywords:

Bullen's inequality, $(s,p)-$convex function, Power mean inequality, Holder's inequality

Abstract

The theory of fractional integral inequalities plays a pivotal role in approximation theory. It is very useful
in establishing the uniqueness of solutions for some fractional differential equations. Here, a generalized
fractional integral identity is established to deduce new estimates for Bullen type functional and of some
related inequalities to provide some applications in probability and information theory for (s, p)−convex
function by use of basic techniques of analysis.

Published

2021-12-30

How to Cite

Hussain, S., & Mehboob, S. (2021). On Some Generalized Fractional Integral Bullen Type Inequalities With Applications. Journal of Fractional Calculus and Nonlinear Systems, 2(2), 93–112. https://doi.org/10.48185/jfcns.v2i2.390

Issue

Vol. 2 No. 2 (2021): 2021 (2)

Section

Articles
Copyright & Licensing

Copyright (c) 2021 Sabir Hussain, Sana Mehboob

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.