Pregled bibliografske jedinice broj: 513807
A(x)-monotonic functions and their inequalities
a(x)-monotonic functions and their inequalities // Journal of Mathematical Inequalities, 5 (2011), 3; 435-450 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 513807 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A(x)-monotonic functions and their inequalities
Autori
Pečarić, Josip ; Smoljak, Ksenija
Izvornik
Journal of Mathematical Inequalities (1846-579X) 5
(2011), 3;
435-450
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
differential equation; a(x)-monotonic function; a(x)-monotonic inequality; exponential convexity; mean value theorems; Stolarsky means
Sažetak
In this paper a(x)-monotonic functions are defined and some inequalities for them are derived. Related analogous of the Lagrange and the Cauchy mean value theorems are also derived and means of the Cauchy type are generated. Furthermore, it is shown that the monotonicity of the Stolarsky means can be proved using the notion of generalized monotonic functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
