A Main Class of Integral Inequalities with Applications
Abstract
In this paper, we define some integral transforms and obtain suitable bounds for them in order to introduce a main class of integral inequalities including Ostrowski and Ostrowski-Gr¨uss inequalities and various kinds of new integral inequalities. In this sense, we also introduce a three point quadrature formula and obtain its error bounds.
Keywords:
Ostrowski inequality, Ostrowski-Gr¨uss inequality, integral transforms, error bounds, quadrature rulesHow to Cite
Masjed-Jamei, M., Omey, E., & Dragomir, S. S. (2016). A Main Class of Integral Inequalities with Applications. Mathematical Modelling and Analysis, 21(4), 569-584. https://doi.org/10.3846/13926292.2016.1188427
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2016-06-23
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Copyright
Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Masjed-Jamei, M., Omey, E., & Dragomir, S. S. (2016). A Main Class of Integral Inequalities with Applications. Mathematical Modelling and Analysis, 21(4), 569-584. https://doi.org/10.3846/13926292.2016.1188427