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Pregled bibliografske jedinice broj: 751605

New estimations of the remainder in three-point quadrature formulae of Euler type


Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana
New estimations of the remainder in three-point quadrature formulae of Euler type // Journal of Mathematical Inequalities, 9 (2015), 4; 1143-1156 doi:10.7153/jmi-09-87 (međunarodna recenzija, članak, znanstveni)


Naslov
New estimations of the remainder in three-point quadrature formulae of Euler type

Autori
Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić Penava, Mihaela ; Vukelić, Ana

Izvornik
Journal of Mathematical Inequalities (1846-579X) 9 (2015), 4; 1143-1156

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

Ključne riječi
Chebyshev functional; Three-point quadrature; Euler Simpson formula; dual Euler Simpson formula; Euler Maclaurin formula; Euler Bullen-Simpson formula

Sažetak
We derive some new bounds for the general three-point quadrature formulae of Euler type using some inequalities for the Chebyshev functional. As special cases, we provide some new error estimates for Euler Simpson formula, dual Euler Simpson formula and Euler Maclaurin formula. Also, applications for Euler Bullen- Simpson formula are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

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:


  • MathSciNet


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