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

Ostrowski Via a Two Functions Pompeiu's Inequality

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Ostrowski Via a Two Functions Pompeiu's Inequality"}

In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain...

Ostrowski Via a Two Functions Pompeiu's Inequality

Published Online: Sep 21, 2017

Page range: 123 - 139

Received: Mar 23, 2015

Accepted: Jul 21, 2015

DOI: https://doi.org/10.1515/auom-2016-0051

Keywords
Ostrowski's inequality, Pompeiu's mean value theorem, Integral inequalities, Schwarz inequality

© 2017

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

Ostrowski Via a Two Functions Pompeiu's Inequality

Published Online: Sep 21, 2017

Page range: 123 - 139

Received: Mar 23, 2015

Accepted: Jul 21, 2015

DOI: https://doi.org/10.1515/auom-2016-0051

KeywordsOstrowski's inequality, Pompeiu's mean value theorem, Integral inequalities, Schwarz inequality

© 2017

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

Keywords
Ostrowski's inequality, Pompeiu's mean value theorem, Integral inequalities, Schwarz inequality