Pregled bibliografske jedinice broj: 586850
Error bounds for weighted twopoint open and semi-open quadrature rules
Error bounds for weighted twopoint open and semi-open quadrature rules // Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka, 2012. str. 60-60 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 586850 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Error bounds for weighted twopoint open and semi-open quadrature rules
Autori
Aglić Aljinović, Andrea ; Kovač, Sanja ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts, 5th Croatian Mathematical Congress
/ Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja - Rijeka, 2012, 60-60
Skup
5th Croatian Mathematical Congress
Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Montgomery identity; weighted 2-point rule; weight function; Radau rule; Gauss rule; open quadrature; semi-open quadrature
Sažetak
We use recently obtained generalization of weighted Montgomery identity to obtain new sharp weighted generalization of Ostrowski type inequality for functions whose derivatives belong to $L_p$ spaces. We use these results to obtain error bounds for the weighted two-point quadrature formulae of open and semi-open type. In particular, we apply all the results with some well-known weight functions. As special cases, the quadrature formulae of Radau and Gauss type and related inequalities are obtained.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
160-0372794-2813 - Harmonijska analiza na realnoj poluprostoj Liejevoj algebri (Božičević, Mladen, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Geotehnički fakultet, Varaždin
