Pregled bibliografske jedinice broj: 1256574
Some new refinements of the Young, H\" older and Minkowski inequalities
Some new refinements of the Young, H\" older and Minkowski inequalities // Journal of inequalities and applications, 2023 (2023), 28, 15 doi:10.1186/s13660-023-02934-0 (međunarodna recenzija, članak, znanstveni)
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Naslov
Some new refinements of the Young, H\" older and
Minkowski inequalities
Autori
Nikolova, Ludmila ; Persson, Lars-Erik ; Varošanec, Sanja
Izvornik
Journal of inequalities and applications (1025-5834) 2023
(2023);
28, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities ; refinements ; Young inequality ; Holder inequality ; Minkowski inequality ; superquadraticity ; strong convexity
Sažetak
We prove and discuss some new refined Holder's inequalities for any p>1 and also a reversed version for p\in (0, 1). The key is to use the concept of superquadraticity, strong convexity and to first prove the corresponding refinements of the Young and reversed Young inequalities. Refinement of the Minkowski and reversed Minkowski inequalities are also given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Sanja Varošanec
(autor)
Poveznice na cjeloviti tekst rada:
doi journalofinequalitiesandapplications.springeropen.com journalofinequalitiesandapplications.springeropen.comCitiraj 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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
