References
Bernstein, S. N.: Sur la valeur asymptotique de la meillure approximation des fonctions analytiques. C. R. Acad. Sci., Paris155, 1062–1065 (1912).
Cheney, E. W.: Introduction to approximation theory. New York: McGraw-Hill 1966.
Elliott, D.: The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function. Math. Comput.18, 274–284 (1964).
— A Chebyshev series method for the numerical solution of Fredholm integral equations. Computer J.6, 102–111 (1963).
Korneicuk, N. P.: The exact constant in D. Jackson's theorem on best uniform approximation of continuous periodic functions. Soviet Math., Doklady3, 1040–1041 (1962).
Krylov, V. I.: Convergence of algebraic interpolation with respect to the roots of Chebyshev's polynomial for absolutely continuous functions and functions of bounded variation. Doklady Akad. Nauk SSSR (N.S.)107, 362–365 (1956) [Russian]. MR 18-32.
Meinardus, G.: Approximation of functions: theory and numerical methods. Berlin-Heidelberg-New York: Springer 1967.
Natanson, I. P.: Constructive function theory, Volume 3. New York: Ungar 1965.
Sansone, G.: Orthogonal functions. New York: Interscience 1959.
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Johnson, L.W., Riess, R.D. On the convergence of polynomials interpolating at the zeroes ofT n (x) . Math Z 116, 355–358 (1970). https://doi.org/10.1007/BF01111843
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DOI: https://doi.org/10.1007/BF01111843