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Generalization of an integral formula of Guessab and Schmeisser


Kovač, Sanja; Pečarić, Josip
Generalization of an integral formula of Guessab and Schmeisser // Banach Journal of Mathematical Analysis, 5 (2011), 1; 1-18 (međunarodna recenzija, članak, znanstveni)


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


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
160-0372794-2813 - Harmonijska analiza na realnoj poluprostoj Liejevoj algebri (Mladen Božičević, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Geotehnički fakultet, Varaždin

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