NEW INTEGRAL INEQUALITIES PERTAINING CONVEX FUNCTIONS AND THEIR APPLICATIONS

Authors

DOI:

https://doi.org/10.37560/matbil21451023k

Keywords:

Hölder's inequality, power mean inequality, \(s\)-convex functions, Bessel functions, special means, midpoint formula

Abstract

In this paper, first we prove a new generalized midpoint identity. By applying this identity some interesting midpoint type integral inequalities via \(s\)-convex functions are given. Some special cases obtained from our main results are discussed in details. Finally, some applications on the Bessel functions, special means of distinct positive real numbers and error estimation about midpoint quadrature formula are presented to support our theoretical results.

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Published

2021-01-18

Issue

Vol. 45 No. 1 (2021): 45 (LXXI) 1 (2021)

Section

Articles

License

Copyright (c) 2021 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
A. Kashuri, “NEW INTEGRAL INEQUALITIES PERTAINING CONVEX FUNCTIONS AND THEIR APPLICATIONS”, Mat. Bilt., vol. 45, no. 1, pp. 23–34, Jan. 2021, doi: 10.37560/matbil21451023k.