A unified approach to dynamic Hardy-type and Copson-type inequalities (CROSBI ID 300327)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Saker, Samir H. ; Mahmoud, Ramy R. ; Abdo, Khadega R. ; Krnić Mario
engleski
A unified approach to dynamic Hardy-type and Copson-type inequalities
In this paper we establish a unified treatment of dynamic Hardy-type and Copson-type inequalities. More precisely, we derive a pair of dynamic inequalities which represent time scales extensions of the corresponding recent relations in the classical real setting. Our main results are derived by virtue of the time scales H¨older’s inequality, the time scales variant of the Fubini theorem and the time scales power rules of integration. As an application, our results are compared with some previously known results from the literature.
Hardy inequality, Copson inequality, Holder inequality, time scales, chain rule
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Podaci o izdanju
174
2022.
103089
18
objavljeno
0007-4497
1952-4773
10.1016/j.bulsci.2021.103089