Weighted Čebyšev-Ostrqwski type integral inequalities with power means


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.


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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


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