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


Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela
General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities // International Congress on Mathematics MICOM 2009, Book of Abstracts / Dodunekov, Stefan ; Eraković, Vesna (ur.).
Skopje: Union of Mathematicans of Macedonia, 2009. str. 13-14 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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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, Sjeverna Makedonija, 16.09.2009. - 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


Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split,
Sveučilište u Osijeku, Odjel za matematiku


Citiraj ovu publikaciju:

Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela
General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities // International Congress on Mathematics MICOM 2009, Book of Abstracts / Dodunekov, Stefan ; Eraković, Vesna (ur.).
Skopje: Union of Mathematicans of Macedonia, 2009. str. 13-14 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Klaričić Bakula, M., Pečarić, J. & Ribičić Penava, M. (2009) General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities. U: Dodunekov, S. & Eraković, V. (ur.)International Congress on Mathematics MICOM 2009, Book of Abstracts.
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip and Ribi\v{c}i\'{c} Penava, Mihaela}, year = {2009}, pages = {13-14}, keywords = {Two-point quadrature, Four-point quadrature, Hadamard's inequalities, Montgomery identity}, title = {General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities}, keyword = {Two-point quadrature, Four-point quadrature, Hadamard's inequalities, Montgomery identity}, publisher = {Union of Mathematicans of Macedonia}, publisherplace = {Ohrid, Sjeverna Makedonija} }
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip and Ribi\v{c}i\'{c} Penava, Mihaela}, year = {2009}, pages = {13-14}, keywords = {Two-point quadrature, Four-point quadrature, Hadamard's inequalities, Montgomery identity}, title = {General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities}, keyword = {Two-point quadrature, Four-point quadrature, Hadamard's inequalities, Montgomery identity}, publisher = {Union of Mathematicans of Macedonia}, publisherplace = {Ohrid, Sjeverna Makedonija} }




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