Pregled bibliografske jedinice broj: 461190
Generalization of an integral formula of Guessab and Schmeisser
Generalization of an integral formula of Guessab and Schmeisser // Banach Journal of Mathematical Analysis, 5 (2011), 1; 1-18 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 461190 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of an integral formula of Guessab and Schmeisser
Autori
Kovač, Sanja ; Pečarić, Josip
Izvornik
Banach Journal of Mathematical Analysis (1735-8787) 5
(2011), 1;
1-18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Weight function; W-harmonic sequences of functions; quadrature formula; Gauss formula; Legendre-Gauss; Chebyshev-Gauss; Hermite-Gauss; inequality; sharp constants; best possible constants; two-point quadrature formula.
Sažetak
Weighted version of two-point integral quadrature formula is obtained using $w-$harmonic sequences of functions. Improved version of Guessab and Schmeisser's result is given with new integral inequalities under various regular conditions. As special cases, the generalizations of quadrature formulae of Gauss type are established.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
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:
Tekstilno-tehnološki fakultet, Zagreb,
Geotehnički fakultet, Varaždin
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
