Ostrowski Via a Two Functions Pompeiu's Inequality

Silvestru Sever Dragomir

doi:10.1515/auom-2016-0051

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Ostrowski Via a Two Functions Pompeiu's Inequality

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 3 (November 2016)

By: Silvestru Sever Dragomir

Open Access

|Sep 2017

Abstract

In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results. Reverses for the integral Cauchy-Bunyakovsky-Schwarz inequality are provided as well.

References

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0051 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 123 - 139

Submitted on: Mar 23, 2015

Accepted on: Jul 21, 2015

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Ostrowski's inequality,

Pompeiu's mean value theorem,

Integral inequalities,

Schwarz inequality

Related subjects:

Mathematics,

General mathematics

© 2017 Silvestru Sever Dragomir, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 24 (2016): Issue 3 (November 2016)