Some generalizations of dynamic Opial-type inequalities on time scales


Authors

Y. A. A. Elsaid - Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt. - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt. A. A. S. Zaghrout - Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt. - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt. A. A. El-Deeb - Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt. - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.


Abstract

In this paper, we prove some dynamic Opial type inequalities on time scales. The functions involved in these Opial type inequalities are positive and monotone. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results.


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ISRP Style

Y. A. A. Elsaid, A. A. S. Zaghrout, A. A. El-Deeb, Some generalizations of dynamic Opial-type inequalities on time scales, Journal of Mathematics and Computer Science, 36 (2025), no. 1, 17--34

AMA Style

Elsaid Y. A. A., Zaghrout A. A. S., El-Deeb A. A., Some generalizations of dynamic Opial-type inequalities on time scales. J Math Comput SCI-JM. (2025); 36(1):17--34

Chicago/Turabian Style

Elsaid, Y. A. A., Zaghrout, A. A. S., El-Deeb, A. A.. "Some generalizations of dynamic Opial-type inequalities on time scales." Journal of Mathematics and Computer Science, 36, no. 1 (2025): 17--34


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