GENERALIZATION OF AN INTEGRAL FORMULA OF GUESSAB AND SCHMEISSER

被引：0

作者：

Kovac, Sanja ^{[1
]}

Pecaric, Josip ^{[2
]}

机构：

[1] Univ Zagreb, Fac Geotech Engn, Varazhdin 42000, Croatia

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2011年 / 5卷 / 01期

关键词：

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;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 18

页数：18

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