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A unified approach to dynamic Hardy-type and Copson-type inequalities (CROSBI ID 300327)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Saker, Samir H. ; Mahmoud, Ramy R. ; Abdo, Khadega R. ; Krnić Mario A unified approach to dynamic Hardy-type and Copson-type inequalities // Bulletin des sciences mathématiques, 174 (2022), 103089, 18. doi: 10.1016/j.bulsci.2021.103089

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

Povezanost rada

Matematika

Poveznice
Indeksiranost