Pregled bibliografske jedinice broj: 794189
General Opial type inequality for quotient of functions
General Opial type inequality for quotient of functions // Sarajevo journal of mathematics, 12 (2016), 2; 193-204 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 794189 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
General Opial type inequality for quotient of
functions
Autori
Barbir, Ana ; Krulić Himmelreich, Kristina ; Pečarić, Josip
Izvornik
Sarajevo journal of mathematics (1840-0655) 12
(2016), 2;
193-204
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Opial inequality ; Green function ; Jensen inequality ; Lidstone polynomial ; Hermite interpolating polynomial
Sažetak
In this paper we give general Opial type inequality for quotient of functions. Our result containes two functions, convex and concave function. We prove a new general inequality on a measure space. We apply our result to numerous symmetric functions and obtain new results that involve Green's functions, Lindstone series and the Hermite's interpolating polynomials.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ 5435
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
