Integral Inequalities Related to Wirtinger’s Result

Dragomir, Silvestru Sever

doi:10.2478/gm-2021-0013

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Integral Inequalities Related to Wirtinger’s Result

General Mathematics

Volume 29 (2021): Issue 2 (December 2021)

By: Silvestru Sever Dragomir

Open Access

|Mar 2022

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.

References

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DOI: https://doi.org/10.2478/gm-2021-0013 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 37 - 55

Submitted on: May 10, 2021

Accepted on: Sep 20, 2021

Published on: Mar 30, 2022

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Wirtinger’s inequality,

Trapezoid inequality,

Fejér’s inequality,

Grüss’ inequality

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2022 Silvestru Sever Dragomir, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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