Pregled bibliografske jedinice broj: 1169179
Refinement of continuous forms of classical inequalities
Refinement of continuous forms of classical inequalities // Eurasian mathematical journal, 12 (2021), 2; 59-73 doi:10.32523/2077-9879-2021-12-2-59-73 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1169179 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Refinement of continuous forms of classical
inequalities
Autori
Nikolova, Ludmila ; Persson, Lars-Erik ; Varošanec, Sanja
Izvornik
Eurasian mathematical journal (2077-9879) 12
(2021), 2;
59-73
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inequalities ; Holder- Minkowski- Popoviciu- and Bellman-type inequalities ; continuous forms ; measure spaces ; related functionals
(inequalities ; Holder-, Minkowski-, Popoviciu- and Bellman-type inequalities ; continuous forms ; measure spaces ; related functionals)
Sažetak
In this article we give refinements of the continuous forms of some classical inequalities i.e. of the inequalities which involve infinitely many functions instead of finitely many. We present new general results for such inequalities of Holder-type and of Minkowski-type as well as for their reverses known as Popoviciu- and Bellman-type inequalities. Properties for related functionals are also established. As particular cases of these results we derive both well-known and new refinements of the corresponding classical inequalities for integrals and sums.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Sanja Varošanec
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
