NEW INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS PERTAINING GENERALIZED STRONGLY CONVEX MAPPINGS

Authors

DOI:

https://doi.org/10.37560/matbil2020091k​

Keywords:

Local fractional derivative, Local fractional integral, Fractal space, Generalized Hölder inequality, Generalized power mean inequality, Generalized convex functions

Abstract

In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets \(\mathbb{R}^{\alpha}\) (\(0<\alpha\leq 1\)) of real line numbers. Then, using twice local fractional differentiable mappings that are in absolute value at certain powers generalized strongly convex, we obtain some new estimates on generalization of trapezium-like inequalities. We also discuss some new special cases which can be deduced from our main results.

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Published

2020-10-01

Issue

Vol. 44 No. 2 (2020): 44 (LXX) 2 (2020)

Section

Articles

License

Copyright (c) 2020 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
A. Kashuri and M. Zeki Sarikaya, “NEW INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS PERTAINING GENERALIZED STRONGLY CONVEX MAPPINGS”, Mat. Bilt., vol. 44, no. 2, pp. 91–106, Oct. 2020, doi: 10.37560/matbil2020091k​.