References
P. L. Butzer andR. J. Nessel,Fourier analysis and approximation I (New York, 1971).
O. Kis, On trigonometric interpolation (Russian),Acta Math. Acad. Sci. Hungar.,11 (1960), 255–276.
A. Sharma andA. K. Varma, Trigonometric interpolation,Duke Math. J.,32 (1965), 341–357.
S. B. Stečkin, The approximation of periodic functions by Fejér sums,Trudy Mat. Inst. Steklov,62, (1961), 48–60. (Amer. Math. Translation 28).
J. Szabados, On the convergence and saturation problem of the Jackson polynomials,Acta Math. Acad. Sci. Hungar.,24 (1973), 399–406.
A. K. Varma, On a new interpolation process,J. Approximation Theory,4 (1971), 159–164.
A. K. Varma, The approximation of functions by certain trigonometric interpolation polynomials,Proc. of the Approximation theory conference in Texas University (1973), 511–515.
V. F. Vlasov, A constructive property of a certain class of functions,Soviet Math. Dokl.,3 (1962), 151–153.
A. Zygmund, The approximation of functions by typical means of their Fourier series,Duke Math. J.,12 (1945), 695–704.
A. Zygmund,Trigonometric series II (Cambridge, 1959).
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Sunouchi, G. On the approximation and saturation of periodic continuous functions by certain trigonometric interpolation polynomials. Acta Mathematica Academiae Scientiarum Hungaricae 27, 323–328 (1976). https://doi.org/10.1007/BF01902111
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DOI: https://doi.org/10.1007/BF01902111