Naslov
General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities

Autori
Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić Penava, Mihaela

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
International Congress on Mathematics MICOM 2009, Book of Abstracts / Dodunekov, Stefan ; Eraković, Vesna - Skopje : Union of Mathematicans of Macedonia, 2009, 13-14

Skup
MASSEE International Congress on Mathematics MICOM 2009

Mjesto i datum
Ohrid, Makedonija, 16-20.09.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Two-point quadrature; Four-point quadrature; Hadamard's inequalities; Montgomery identity

Sažetak
We establish two types of general open two-point and closed four-point weighted quadrature formulae. Obtained formulae are used to present some Hadamard type and Ostrowski type inequalities for α -L-Hölder functions. These results are applied to establish error estimates for several Gauss-Chebyshev quadratures.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA