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

<p>In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted inequalities, of Fejér’s inequality for convex functions and of Grüss’ type inequalities are also provided.</p>
</abstract>

In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted inequalities, of Fejér’s inequality for convex functions and of Grüss’ type inequalities are also provided.

Integral Inequalities Related to Wirtinger’s Result

General Mathematics

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

{"article-title":"Integral Inequalities Related to Wirtinger\u2019s Result"}

In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted...

Integral Inequalities Related to Wirtinger’s Result

Published Online: Mar 30, 2022

Page range: 37 - 55

Received: May 10, 2021

Accepted: Sep 20, 2021

DOI: https://doi.org/10.2478/gm-2021-0013

Keywords
Wirtinger’s inequality, Trapezoid inequality, Fejér’s inequality, Grüss’ inequality

© 2021 Silvestru Sever Dragomir, published by Sciendo

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

Integral Inequalities Related to Wirtinger’s Result

Published Online: Mar 30, 2022

Page range: 37 - 55

Received: May 10, 2021

Accepted: Sep 20, 2021

DOI: https://doi.org/10.2478/gm-2021-0013

KeywordsWirtinger’s inequality, Trapezoid inequality, Fejér’s inequality, Grüss’ inequality

© 2021 Silvestru Sever Dragomir, published by Sciendo

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

Keywords
Wirtinger’s inequality, Trapezoid inequality, Fejér’s inequality, Grüss’ inequality