Abstract
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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Acknowledgements
This work was supported by the Serbian Ministry of Education, Science and Technological Development (Research Project: Methods of Numerical and Nonlinear Analysis with Applications) (Grant No. 174002). The authors are indebted to the referees for the valuable comments that have improved the first version of the paper.
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Pejčev, A.V., Spalević, M.M. Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions. Sci. China Math. 62, 1657–1668 (2019). https://doi.org/10.1007/s11425-016-9259-5
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DOI: https://doi.org/10.1007/s11425-016-9259-5