Ostrowski type integral inequalities, weighted Ostrowski, and trapezoid type integral inequalities with powers

Volume 26, Issue 3, pp 291--308 http://dx.doi.org/10.22436/jmcs.026.03.07

Publication Date: December 01, 2021 Submission Date: October 04, 2021 Revision Date: October 17, 2021 Accteptance Date: November 05, 2021

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Authors

T. A. Ghareeb - Department of Basic Science, Faculty of Engineering, Sinai University, El-Arish, Egypt. S. H. Saker - Department of Mathematics, Faculty of Science, New Mansoura University, , New Mansoura , Egypt. - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. A. A. Ragab - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

Abstract

In this paper, we prove some new weighted Ostrowski and Trapezoid type inequalities with powers on time scales. The results will be proved by employing the generalized version of Montgomery identity with weights on time scales designed and proved for this purpose. As special cases, we will derive some new weighted discrete inequalities of Ostrowski and Trapezoid types which to the best of the authors' knowledge are essentially new.

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Keywords

• Ostrowski inequality integral inequalities
• Trapezoid inequality
• discrete inequalities
• time scales

MSC

•  26D15
•  34A40
•  39A12
•  34N05

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