Weighted Čebyšev-Ostrqwski type integral inequalities with power means
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Authors
Al-Taher A. Ghareeb
- Department of Basic Science, Faculty of Engineering, Sinai University, El-Arish, Egypt.
Samir H. Saker
- Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
A. M. Ahmed
- Mathematics Department, College of Science, Jouf University, Sakaka (2014), Kingdom of Saudi Arabia.
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
Abstract
In this paper, we will prove some new weighted
Čebyšev-Ostrowski type inequalities with power mean on
time scales. The results will be proved by employing the generalized version of Montgomery's identity with weights that will
be proved for our purpose. As special cases, we will derive some
new weighted discrete inequalities of Čebyšev-Ostrowski type which to the best of the authors' knowledge are essentially new.
Share and Cite
ISRP Style
Al-Taher A. Ghareeb, Samir H. Saker, A. M. Ahmed, Weighted Čebyšev-Ostrqwski type integral inequalities with power means, Journal of Mathematics and Computer Science, 22 (2021), no. 3, 189--203
AMA Style
Ghareeb Al-Taher A., Saker Samir H., Ahmed A. M., Weighted Čebyšev-Ostrqwski type integral inequalities with power means. J Math Comput SCI-JM. (2021); 22(3):189--203
Chicago/Turabian Style
Ghareeb, Al-Taher A., Saker, Samir H., Ahmed, A. M.. "Weighted Čebyšev-Ostrqwski type integral inequalities with power means." Journal of Mathematics and Computer Science, 22, no. 3 (2021): 189--203
Keywords
- Čebyšev-Ostrowski inequality
- integral inequalities
- discrete inequalities
- Hölder's inequality
- time scales
MSC
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