On some extensions of dynamic Hardy-type inequalities on time scales

Volume 30, Issue 2, pp 147--164 https://doi.org/10.22436/jmcs.030.02.06

Publication Date: December 22, 2022 Submission Date: September 15, 2022 Revision Date: October 04, 2022 Accteptance Date: October 27, 2022

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Authors

K. A. Mohamed - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt. H. M. El-Owaidy - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt. A. A. El-Deeb - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt. H. M. Rezk - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt.

Abstract

The objective of this paper is to establish a new class of dynamic inequalities of the Hardy type which generalize and improve some recent results given in the literature, and we derive some new weighted Hardy type integral inequalities on the time scale.

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ISRP Style

K. A. Mohamed, H. M. El-Owaidy, A. A. El-Deeb, H. M. Rezk, On some extensions of dynamic Hardy-type inequalities on time scales, Journal of Mathematics and Computer Science, 30 (2023), no. 2, 147--164

AMA Style

Mohamed K. A., El-Owaidy H. M., El-Deeb A. A., Rezk H. M., On some extensions of dynamic Hardy-type inequalities on time scales. J Math Comput SCI-JM. (2023); 30(2):147--164

Chicago/Turabian Style

Mohamed, K. A., El-Owaidy, H. M., El-Deeb, A. A., Rezk, H. M.. "On some extensions of dynamic Hardy-type inequalities on time scales." Journal of Mathematics and Computer Science, 30, no. 2 (2023): 147--164

Keywords

Delta derivative
Hardy's inequality
Holder's inequality
time scales

MSC

26A15
26D10
26D15
39A13
34A40
34N05

References

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