A Main Class of Integral Inequalities with Applications

    Mohammad Masjed-Jamei Info
    Edward Omey Info
    Sever S. Dragomir Info
DOI: https://doi.org/10.3846/13926292.2016.1188427

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 rules

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

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June 23, 2016
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2016-06-23

Issue

Vol 21 No 4 (2016)

Section

Articles

Copyright

Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons 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

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