<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Faculty of Mathematics, Department of Mathematics

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we find accordance of some classical inequalities and fractional dynamic inequalities. We find inequalities such as Radon’s inequality,...

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

Published Online: Dec 21, 2019

Page range: 57 - 69

Received: Oct 09, 2018

Accepted: May 09, 2019

DOI: https://doi.org/10.2478/gm-2019-0006

Keywords
Radon’s inequality, Time scales, Riemann-Liouville fractional integrals

© 2019 Muhammad Jibril Shahab Sahir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 21, 2019

Page range: 57 - 69

Received: Oct 09, 2018

Accepted: May 09, 2019

DOI: https://doi.org/10.2478/gm-2019-0006

KeywordsRadon’s inequality, Time scales, Riemann-Liouville fractional integrals

© 2019 Muhammad Jibril Shahab Sahir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Radon’s inequality, Time scales, Riemann-Liouville fractional integrals