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Pregled bibliografske jedinice broj: 623579

Sharp integral inequalities based on general three-point formula


Pečarić, Josip, Ribičić Penava, Mihaela
Sharp integral inequalities based on general three-point formula // Analele Universităţii din Craiova. Seria matematică, informatică, 39 (2012), 2; 132-147 (međunarodna recenzija, članak, znanstveni)


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Naslov
Sharp integral inequalities based on general three-point formula

Autori
Pečarić, Josip, Ribičić Penava, Mihaela

Izvornik
Analele Universităţii din Craiova. Seria matematică, informatică (1223-6934) 39 (2012), 2; 132-147

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

Ključne riječi
Taylor's formula; Montgomery identity; three-point formulae

Sažetak
In this paper we establish the families of general three-point quadrature formulae, by using the generalization of the weighted Montgomery identity via Taylor's formula. The results are applied to prove a number of inequalities which give error estimates for the general three-point formula and for three-point Gauss-Chebyshev formulae of the first and of the second kind.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku


Citiraj ovu publikaciju:

Pečarić, Josip, Ribičić Penava, Mihaela
Sharp integral inequalities based on general three-point formula // Analele Universităţii din Craiova. Seria matematică, informatică, 39 (2012), 2; 132-147 (međunarodna recenzija, članak, znanstveni)
Pečarić, Josip, Ribičić Penava, Mihaela (2012) Sharp integral inequalities based on general three-point formula. Analele Universităţii din Craiova. Seria matematică, informatică, 39 (2), 132-147.
@article{article, year = {2012}, pages = {132-147}, keywords = {Taylor's formula, Montgomery identity, three-point formulae}, journal = {Analele Universit\u{a}\c{t}ii din Craiova. Seria matematic\u{a}, informatic\u{a}}, volume = {39}, number = {2}, issn = {1223-6934}, title = {Sharp integral inequalities based on general three-point formula}, keyword = {Taylor's formula, Montgomery identity, three-point formulae} }
@article{article, year = {2012}, pages = {132-147}, keywords = {Taylor's formula, Montgomery identity, three-point formulae}, journal = {Analele Universit\u{a}\c{t}ii din Craiova. Seria matematic\u{a}, informatic\u{a}}, volume = {39}, number = {2}, issn = {1223-6934}, title = {Sharp integral inequalities based on general three-point formula}, keyword = {Taylor's formula, Montgomery identity, three-point formulae} }

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Mathematical Reviews





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