Accelerating convergence of trigonometric approximations

作者: William B. Jones , G. Hardy

DOI: 10.1090/S0025-5718-1970-0277086-X

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摘要: Lanczos has recently developed a method for accelerating the convergence of trigonometric approximations smooth, nonperiodic functions by modifying their boundary behavior. The is reformulated here in terms interpolation theory and shown to be related Lidstone interpolation. Extensions given include new type function establishment criteria associated series. Applications are error its derivative.

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