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Pregled bibliografske jedinice broj: 320578

New error bounds for the Simpson's quadrature rule and applications


Ujević, Nenad
New error bounds for the Simpson's quadrature rule and applications // Computers and Mathematics with Applications, 53 (2007), 1; 64-72 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 320578 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
New error bounds for the Simpson's quadrature rule and applications

Autori
Ujević, Nenad

Izvornik
Computers and Mathematics with Applications (0898-1221) 53 (2007), 1; 64-72

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

Ključne riječi
Simpson's quadrature rule; error bounds; numerical integration

Sažetak
New error bounds for the well-known Simpson's quadrature rule are derived. If we use these bounds then we can apply the Simpson's rule to functions whose first, second or third derivatives are unbounded below or above. Furthermore, these error bounds can be (much) better than some recently obtained bounds. Applications in numerical integration are also given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
177-1170889-3039 - Nejednakosti i numerička analiza

Ustanove:
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Nenad Ujević (autor)


Citiraj ovu publikaciju:

Ujević, Nenad
New error bounds for the Simpson's quadrature rule and applications // Computers and Mathematics with Applications, 53 (2007), 1; 64-72 (međunarodna recenzija, članak, znanstveni)
Ujević, N. (2007) New error bounds for the Simpson's quadrature rule and applications. Computers and Mathematics with Applications, 53 (1), 64-72.
@article{article, author = {Ujevi\'{c}, Nenad}, year = {2007}, pages = {64-72}, keywords = {Simpson's quadrature rule, error bounds, numerical integration}, journal = {Computers and Mathematics with Applications}, volume = {53}, number = {1}, issn = {0898-1221}, title = {New error bounds for the Simpson's quadrature rule and applications}, keyword = {Simpson's quadrature rule, error bounds, numerical integration} }
@article{article, author = {Ujevi\'{c}, Nenad}, year = {2007}, pages = {64-72}, keywords = {Simpson's quadrature rule, error bounds, numerical integration}, journal = {Computers and Mathematics with Applications}, volume = {53}, number = {1}, issn = {0898-1221}, title = {New error bounds for the Simpson's quadrature rule and applications}, keyword = {Simpson's quadrature rule, error bounds, numerical integration} }

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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