Pregled bibliografske jedinice broj: 844982
Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae
Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae // Mathematical Modelling and Analysis, 21 (2016), 836-851 doi:dx..org/10.3846/13926292.2016.1247755 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 844982 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae
Autori
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Mathematical Modelling and Analysis (1392-6292) 21
(2016);
836-851
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hermite interpolating polynomial ; Green function ; quadrature formulae ; Hölder’s inequality ; Čebyšev functional ; orthogonal polynomials
Sažetak
We consider integral error representation related to the Hermite inter-polating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Hölder’s inequality and some inequalities for the Čebyšev functional. As a special case, generalizations for the zeros of orthogonal polynomials are considered.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Arhitektonski fakultet, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- 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
