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A generalization of general two-point formula with applications in numerical integration


Kovač, Sanja; Pečarić, Josip; Vukelić, Ana
A generalization of general two-point formula with applications in numerical integration // Nonlinear Analysis, 68 (2008), 8; 2445-2463 doi:/10.1016/j.na.2007.01.069 (međunarodna recenzija, članak, znanstveni)


Naslov
A generalization of general two-point formula with applications in numerical integration

Autori
Kovač, Sanja ; Pečarić, Josip ; Vukelić, Ana

Izvornik
Nonlinear Analysis (0362-546X) 68 (2008), 8; 2445-2463

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

Ključne riječi
General two-point formula; harmonic polynomials; $L^p$ estimates; Hadamard and Dragomir-Agarwal type inequalities; non-symmetric bounds

Sažetak
We derive a general two-point integral quadrature formula using the concept of harmonic polynomials. Improved version of Guessab and Schmeisser's result is given with new integral inequalities involving functions whose derivatives belong to various classes of functions ($L_p$ spaces, convex, concave, bounded functions). Furthermore, several special cases of polynomials are considered, and the generalization of well-known two-point quadrature formulae, such as trapezoid, perturbed trapezoid, two-point Newton-Cotes formula, two-point Maclaurin formula, midpoint, are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


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

Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb,
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


Uključenost u ostale bibliografske baze podataka:


  • Mathematical Reviews


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