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General four-point quadrature formulae with applications for alpha-L-Hölder type functions


Klaričić Bakula, Milica; Ribičić Penava, Mihaela
General four-point quadrature formulae with applications for alpha-L-Hölder type functions // Mathematical inequalities and applications 2008 : conference in honour of Professor Josip Pečarić on the occasion of his 60th birthday : book of abstracts / Čižmešija, Aleksandra ; Varošanec, Sanja (ur.).
Zagreb: Element, 2008. str. 87-87 (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
General four-point quadrature formulae with applications for alpha-L-Hölder type functions

Autori
Klaričić Bakula, Milica ; Ribičić Penava, Mihaela

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

Izvornik
Mathematical inequalities and applications 2008 : conference in honour of Professor Josip Pečarić on the occasion of his 60th birthday : book of abstracts / Čižmešija, Aleksandra ; Varošanec, Sanja - Zagreb : Element, 2008, 87-87

Skup
Mathematical Inequalities and Applications ; 2008

Mjesto i datum
Trogir, Hrvatska, 08-14.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Weighted quadrature formulae; Montgomery identity; Chebyshev-Gauss formulae; error estimate

Sažetak
For an arbitrary x∈ (a, (a+b)/2] we consider a couple of general four-point weighted quadrature formulae based on two new extensions of the weighted Montgomery identity recently proved by A. Aglić Aljinović and J. Pečarić. We prove a number of related Ostrowski type inequalities which enables us to establish some error estimates for these quadrature formulae when they include α -L-Hölder functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Dragan Jukić, )

Ustanove
Prirodoslovno-matematički fakultet, Split,
Sveučilište u Osijeku, Odjel za matematiku