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An Improved Estimate of the Accuracy of Trigonometric Interpolation
SIAM Journal on Numerical Analysis, 1972Utilizing the concept of aliasing, we are able to obtain a new estimate of the accuracy of trigonometric interpolation. For functions with K continuous derivatives, we show that the n-point sum gives approximation to order $O(n^{ - (k - 1)} )$. When $K = 2$, this improves the usual accuracy estimate of $O(n^{{{ - 1} / 2})} )$.
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Nyquist reconstruction as the limit of trigonometric interpolation
Signal Processing, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On some Averages of Trigonometric Interpolating Operators
1995We study the convergence of some approximation operators obtained by averaging the Dirichlet kernel and the behaviour of their iterates.
CAMPITI, Michele +2 more
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Shape preserving rational cubic trigonometric fractal interpolation functions
Mathematics and Computers in Simulation, 2021Mohammad Sajid, A K B Chand
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New Formulas for Trigonometric Interpolation
Journal of Mathematics and Physics, 1960openaire +2 more sources