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Pregled bibliografske jedinice broj: 770868

Bounds for the Chebyshev functional and applications to the weighted integral formulae

Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana
Bounds for the Chebyshev functional and applications to the weighted integral formulae // Applied mathematics and computation, 268 (2015), 957-965 doi:10.1016/j.amc.2015.07.004 (međunarodna recenzija, članak, znanstveni)

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Naslov
Bounds for the Chebyshev functional and applications to the weighted integral formulae

Autori
Pečarić, Josip ; Ribičić Penava, Mihaela ; Vukelić, Ana

Izvornik
Applied mathematics and computation (0096-3003) 268 (2015); 957-965

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

Ključne riječi
Chebyshev functional ; Grüss inequality ; Weighted quadrature formulae ; Gauss–Chebyshev formulae

Sažetak
The aim of this paper is to provide some error estimates for the general weighted n-point quadrature formulae by using some inequalities for the Chebyshev functional. The above results are applied to obtain some new bounds for the Gauss–Chebyshev formulae of the first and the second kind.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)

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

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Mihaela Ribičić Penava (autor)

Avatar Url Ana Vukelić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com dx.doi.org

Citiraj ovu publikaciju:

Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana
Bounds for the Chebyshev functional and applications to the weighted integral formulae // Applied mathematics and computation, 268 (2015), 957-965 doi:10.1016/j.amc.2015.07.004 (međunarodna recenzija, članak, znanstveni)
Pečarić, J., Ribičić Penava, M. & Vukelić, A. (2015) Bounds for the Chebyshev functional and applications to the weighted integral formulae. Applied mathematics and computation, 268, 957-965 doi:10.1016/j.amc.2015.07.004.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Ribi\v{c}i\'{c} Penava, Mihaela and Vukeli\'{c}, Ana}, year = {2015}, pages = {957-965}, DOI = {10.1016/j.amc.2015.07.004}, keywords = {Chebyshev functional, Gr\"{u}ss inequality, Weighted quadrature formulae, Gauss–Chebyshev formulae}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2015.07.004}, volume = {268}, issn = {0096-3003}, title = {Bounds for the Chebyshev functional and applications to the weighted integral formulae}, keyword = {Chebyshev functional, Gr\"{u}ss inequality, Weighted quadrature formulae, Gauss–Chebyshev formulae} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Ribi\v{c}i\'{c} Penava, Mihaela and Vukeli\'{c}, Ana}, year = {2015}, pages = {957-965}, DOI = {10.1016/j.amc.2015.07.004}, keywords = {Chebyshev functional, Gr\"{u}ss inequality, Weighted quadrature formulae, Gauss–Chebyshev formulae}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2015.07.004}, volume = {268}, issn = {0096-3003}, title = {Bounds for the Chebyshev functional and applications to the weighted integral formulae}, keyword = {Chebyshev functional, Gr\"{u}ss inequality, Weighted quadrature formulae, Gauss–Chebyshev formulae} }

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

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  • MathSciNet

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