Pregled bibliografske jedinice broj: 530058
Abel-Gontscharo® interpolating polynomial and some inequalities for convex functions of higher order,
Abel-Gontscharo® interpolating polynomial and some inequalities for convex functions of higher order, // Inequalities 2001 : abstracts / Megan, Mihail (ur.).
Temišvar: University of West Timisoara, 2001. (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Abel-Gontscharo® interpolating polynomial and some inequalities for convex functions of higher order,
Autori
Pečarić, Josip ; Čuljak, Vera
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Inequalities 2001 : abstracts
/ Megan, Mihail - Temišvar : University of West Timisoara, 2001
Skup
Inequalities 2001
Mjesto i datum
Temišvar, Rumunjska, 09.07.2001. - 14.07.2001
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Jensen inequality ; Hadamard inequality ; Petrovic inequality ; Abel - Gontscharoff interpolating polynomial ; -convex function
Sažetak
In this paper we prove some inequalities for convex function of a higher order. The Abel - Gontscharoff interpolating polynomial with two- point right focal conditions leads us to an inequality like converse of Jensen inequality for a regular, signed measure and, as a consequence, some generalization of Hadamard and Petrovic's inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0117014
Ustanove:
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
