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Consensus of classical and fractional inequalities having congruity on time scale calculus

Open Access
|Dec 2019

Abstract

In this paper, we find accordance of some classical inequalities and fractional dynamic inequalities. We find inequalities such as Radon’s inequality, Bergström’s inequality, Rogers-Hölder’s inequality, Cauchy-Schwarz’s inequality, the weighted power mean inequality and Schlömilch’s inequality in generalized and extended form by using the Riemann-Liouville fractional integrals on time scales.

DOI: https://doi.org/10.2478/gm-2019-0006 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 57 - 69
Submitted on: Oct 9, 2018
Accepted on: May 9, 2019
Published on: Dec 21, 2019
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2019 Muhammad Jibril Shahab Sahir, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.