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

<p>The concept of inequalities in time scales has attracted the attention of mathematicians for a quarter century. And these studies have inspired the solution of many problems in the branches of physics, biology, mechanics and economics etc. In this article, new principles of non-linear integral inequalities are presented in time scales via diamond-<italic>α</italic> dynamic integral and the nabla integral.</p>
</abstract>

The concept of inequalities in time scales has attracted the attention of mathematicians for a quarter century. And these studies have inspired the solution of many problems in the branches of physics, biology, mechanics and economics etc. In this article, new principles of non-linear integral inequalities are presented in time scales via diamond-α dynamic integral and the nabla integral.

New Principles of Non-Linear Integral Inequalities on Time Scales

Faculty of Economics and Administrative Sciences

Applied Mathematics and Nonlinear Sciences

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

{"article-title":"New Principles of Non-Linear Integral Inequalities on Time Scales"}

The concept of inequalities in time scales has attracted the attention of mathematicians for a quarter century. And these studies have inspired the solution of...

New Principles of Non-Linear Integral Inequalities on Time Scales

Published Online: Jan 18, 2021

Page range: 387 - 394

Received: Apr 10, 2020

Accepted: Oct 18, 2020

DOI: https://doi.org/10.2478/amns.2021.1.00001

Keywords
Operator theory, Time scales, Integral inequalities

© 2021 Lutfi Akin, published by Sciendo

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

New Principles of Non-Linear Integral Inequalities on Time Scales

Published Online: Jan 18, 2021

Page range: 387 - 394

Received: Apr 10, 2020

Accepted: Oct 18, 2020

DOI: https://doi.org/10.2478/amns.2021.1.00001

KeywordsOperator theory, Time scales, Integral inequalities

© 2021 Lutfi Akin, published by Sciendo

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

Keywords
Operator theory, Time scales, Integral inequalities