Pregled bibliografske jedinice broj: 799650
Generalization of Steffensen's inequality by Hermite polynomial,
Generalization of Steffensen's inequality by Hermite polynomial, // Matematički bilten, 38 (2014), 2; 53-68 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 799650 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of Steffensen's inequality by Hermite polynomial,
Autori
Jakšetić, Julije ; Pečarić Josip ; Perušić Pribanić, Anamarija
Izvornik
Matematički bilten (0351-336X) 38
(2014), 2;
53-68
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen’s inequality; Hermite polynomial; nexponential convexity; nconvexity
Sažetak
We study generalizations of Steffensen’s inequality using Hermite expansions with integral reminder. In comparing differences of two weighted integrals we vary on the number of knots in expansion which leads us to generalization of conditions for Steffensen’s inequality. After that, we construct exponentially convex functions and Cauchy means.
Izvorni jezik
Engleski
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
