NEW HERMITE-HADAMARD TYPE INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS CONCERNING DIFFERENTIABLE RELATIVE SEMI-(r; m; h1; h2)-CONVEX MAPPINGS AND THEIR APPLICATIONS

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DOI:

https://doi.org/10.37560/matbil2010061k

Abstract

In this article, we first presented a new identity via conformable fractional integrals. By applied the concept of relative semi-\((r;m,h_1,h_2)\)-convexity and the obtained identity as an auxiliary result, some new estimates with respect to the left hand side of the Hermite--Hadamard type inequalities via conformable fractional integrals are given. Also, some applications to special means and error estimates for the midpoint formula are provided as well.

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Published

2020-09-07

Issue

Vol. 44 No. 1 (2020): 44 (LXX) 1 (2020)

Section

Articles

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Copyright (c) 2020 Matematichki Bilten

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

How to Cite

[1]
A. Kashuri and S. Iqbal, “NEW HERMITE-HADAMARD TYPE INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS CONCERNING DIFFERENTIABLE RELATIVE SEMI-(r; m; h1; h2)-CONVEX MAPPINGS AND THEIR APPLICATIONS”, Mat. Bilt., vol. 44, no. 1, pp. 61–78, Sep. 2020, doi: 10.37560/matbil2010061k.