Pregled bibliografske jedinice broj: 1155430
A unified approach to dynamic Hardy-type and Copson-type inequalities
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 (međunarodna recenzija, članak, znanstveni)
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Naslov
A unified approach to dynamic Hardy-type and Copson-type inequalities
Autori
Saker, Samir H. ; Mahmoud, Ramy R. ; Abdo, Khadega R. ; Krnić Mario
Izvornik
Bulletin des sciences mathématiques (0007-4497) 174
(2022);
103089, 18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hardy inequality, Copson inequality, Holder inequality, time scales, chain rule
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus