Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
classification
🧮 math.NA
cs.NA
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boundserrorquadratureanalyticformulamultiplenodesbounded
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Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well known Micchelli-Rivlin quadrature formula, when the integrand is a function analytic in the regions bounded by confocal ellipses, are given. A numerical example which illustrates the calculation of these error bounds is included.
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