Pregled bibliografske jedinice broj: 289319
A generalization of general two-point formula with applications in numerical integration
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)
CROSBI ID: 289319 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
