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- W3126571777 abstract "Sweldens and Piessens [23 Sweldens, W., Piessens, R. (1992). Calculation of the wavelet decomposition using quadrature formulae. CWI Quarterly. 5(1):33–52. [Google Scholar]] gave the crucial relationship between the first and the second scaling moment in order to derive an effective one-point quadrature formula to reproduce polynomials up to degree 2. Finěk [6 Finěk, V. (2005). Quadrature formulas based on the scaling function. Appl. Math. 50(4):387–399. DOI: 10.1007/s10492-005-0029-8.[Crossref] , [Google Scholar]] derived quadrature formulas with exactness for polynomials of degree 3 with the use of scaling functions of the Daubechies wavelets. In this paper, some relations between the moments of the scaling function associated with multiresolution analysis are derived and a one point quadrature formula with degree of precision 4 is constructed which helps in the approximation of a function f∈L2(R) in Vj,j∈Z." @default.
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- W3126571777 date "2021-01-25" @default.
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- W3126571777 title "An Improved One Point Quadrature Formula" @default.
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- W3126571777 doi "https://doi.org/10.1080/01630563.2020.1870133" @default.
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