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Weighted version of general integral formula of the Euler type


Kovač, Sanja; Pečarić, Josip
Weighted version of general integral formula of the Euler type // Mathematical Inequalities & Applications, 13 (2010), 3; 579-599 (međunarodna recenzija, članak, znanstveni)


Naslov
Weighted version of general integral formula of the Euler type

Autori
Kovač, Sanja ; Pečarić, Josip

Izvornik
Mathematical Inequalities & Applications (1331-4343) 13 (2010), 3; 579-599

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Harmonic polynomials; weighted integral formula; one-point formula; w-Appell sequences; w-harmonic sequences; weight; Lp inequalities; Gauss rule; Euler identity

Sažetak
The weighted generalization of the integral formula in m nodes is introduced, and some sharp and the best possible inequalities for the functions whose higher order derivatives belong to L_p spaces are given. Specially, the general one- point integral formula is established. Special cases of the well known weights are considered and generalizations of the Gaussian quadrature formulae with one node are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )

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

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus