Pregled bibliografske jedinice broj: 530055
Weighted Simpson’s inequalities and extension of Montgomery identity
Weighted Simpson’s inequalities and extension of Montgomery identity // The Third International Conference of Applied Mathematics, Plovdiv / Bainov, Drumi ; Nenov, Svetoslav (ur.).
Plovdiv: Technical University of Plovdiv, 2006. str. 67-67 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 530055 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weighted Simpson’s inequalities and extension of Montgomery identity
Autori
Čuljak, Vera ; Pečarić, Josip ; Persson, Lars-Erik
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
The Third International Conference of Applied Mathematics, Plovdiv
/ Bainov, Drumi ; Nenov, Svetoslav - Plovdiv : Technical University of Plovdiv, 2006, 67-67
Skup
The Third International Conference of Applied Mathematics, Plovdiv
Mjesto i datum
Plovdiv, Bugarska, 2006
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Lipschitz functions; functions of bounded variations; Lebesgue functions; mixed Lebesgue spaces; Simpson type formulas;
Sažetak
Some new inequalities (error estimates) concerning weighted Simp- son type numerical integration for suitable function spaces and norms are proved, discussed and compared with similar results in the literature. As a natural preparation we also prove an extension of a weighted form of the Montgomery identity. As applications some new estimates for the expectation of a random variable X or, more generally a function of X, e.g. the r− moment Xr, are pointed out.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0117014
Ustanove:
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
