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Generalization of an integral formula of Guessab and Schmeisser (CROSBI ID 162330)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kovač, Sanja ; Pečarić, Josip Generalization of an integral formula of Guessab and Schmeisser // Banach journal of mathematical analysis, 5 (2011), 1; 1-18

Podaci o odgovornosti

Kovač, Sanja ; Pečarić, Josip

engleski

Generalization of an integral formula of Guessab and Schmeisser

Weighted version of two-point integral quadrature formula is obtained using $w-$harmonic sequences of functions. Improved version of Guessab and Schmeisser's result is given with new integral inequalities under various regular conditions. As special cases, the generalizations of quadrature formulae of Gauss type are established.

Weight function; W-harmonic sequences of functions; quadrature formula; Gauss formula; Legendre-Gauss; Chebyshev-Gauss; Hermite-Gauss; inequality; sharp constants; best possible constants; two-point quadrature formula.

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Podaci o izdanju

5 (1)

2011.

1-18

objavljeno

1735-8787

Povezanost rada

Matematika

Poveznice
Indeksiranost