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Pregled bibliografske jedinice broj: 1155430

A unified approach to dynamic Hardy-type and Copson-type inequalities


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 (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:

Avatar Url Mario Krnić (autor)

Poveznice na cjeloviti tekst rada:

doi www.journals.elsevier.com www.sciencedirect.com

Citiraj ovu publikaciju:

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 (međunarodna recenzija, članak, znanstveni)
Saker, S., Mahmoud, R., Abdo, K. & Krnić Mario (2022) A unified approach to dynamic Hardy-type and Copson-type inequalities. Bulletin des sciences mathématiques, 174, 103089, 18 doi:10.1016/j.bulsci.2021.103089.
@article{article, author = {Saker, Samir H. and Mahmoud, Ramy R. and Abdo, Khadega R.}, year = {2022}, pages = {18}, DOI = {10.1016/j.bulsci.2021.103089}, chapter = {103089}, keywords = {Hardy inequality, Copson inequality, Holder inequality, time scales, chain rule}, journal = {Bulletin des sciences math\'{e}matiques}, doi = {10.1016/j.bulsci.2021.103089}, volume = {174}, issn = {0007-4497}, title = {A unified approach to dynamic Hardy-type and Copson-type inequalities}, keyword = {Hardy inequality, Copson inequality, Holder inequality, time scales, chain rule}, chapternumber = {103089} }
@article{article, author = {Saker, Samir H. and Mahmoud, Ramy R. and Abdo, Khadega R.}, year = {2022}, pages = {18}, DOI = {10.1016/j.bulsci.2021.103089}, chapter = {103089}, keywords = {Hardy inequality, Copson inequality, Holder inequality, time scales, chain rule}, journal = {Bulletin des sciences math\'{e}matiques}, doi = {10.1016/j.bulsci.2021.103089}, volume = {174}, issn = {0007-4497}, title = {A unified approach to dynamic Hardy-type and Copson-type inequalities}, keyword = {Hardy inequality, Copson inequality, Holder inequality, time scales, chain rule}, chapternumber = {103089} }

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


Citati:





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