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Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type


Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana
Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type // Matematički bilten, 38 (2014), 2; 69-80 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type

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

Izvornik
Matematički bilten (0351-336X) 38 (2014), 2; 69-80

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

Ključne riječi
\v{;; C};; eby\v{;; s};; ev functional; general four-point quadrature formulae of Euler type; Euler Bullen-Simpson's $3/8$ formula; Euler Simpson's $3/8$ formula; Euler Simpson's formula; Euler Gauss $2$-point formula.

Sažetak
We use inequalities for the \v{; ; C}; ; eby\v{; ; s}; ; ev functional in terms of the first derivative (see \cite{; ; cerdrag}; ; ), for some new bounds for the remainder of four-point quadrature formulae of Euler type and its generalizations for Euler Bullen-Simpson's $3/8$ formula. As special cases, we consider some new bounds for Euler Simpson's $3/8$ formula, Euler Simpson's formula and Euler Gauss $2$-point formula.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split,
Sveučilište u Osijeku, Odjel za matematiku

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  • MathSciNet