Pregled bibliografske jedinice broj: 787255
Generalized Levinson's inequality and exponential convexity
Generalized Levinson's inequality and exponential convexity // Opuscula Mathematica (Online), 35 (2015), 3; 397-410 doi:10.7494/OpMath.2015.35.3.397 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 787255 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalized Levinson's inequality and exponential convexity
Autori
Pečarić, Josip ; Praljak, Marjan ; Witkowski, Alfred
Izvornik
Opuscula Mathematica (Online) (2300-6919) 35
(2015), 3;
397-410
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Levinson's inequality; exponential convexity
Sažetak
We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds. New families of exponentially convex functions and related results are derived from the obtained inequality.
Izvorni jezik
Engleski
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Scopus
- Thomson Reuters Emerging Sources Citation Index
