Approximationstheorie

LITERATUR 183
[29] H. Heuser. Lehrbuch der Analysis. Teil 2. B. G. Teubner, 2. edition, 1983.
[30] H. Heuser. Lehrbuch der Analysis. Teil 1. B. G. Teubner, 3. edition, 1984.
[31] N. J. Higham. Accuracy and stability of numerical algorithms. SIAM, 2nd edition, 2002.
[32] D. Jackson. On the approximation by trigonometric sums and polynomials. Trans. Amer.
Math. Soc., 12 (1912), 491–515.
[33] D. Jackson. The Theory of Approximation, volume XI of AMS Colloquium Publications.
Amer. Math. Soc., 1930.
[34] R. Q. Jia and J. Lei. Approximation by multiinteger translates of functions having global
support. J. Approx. Theor., 72 (1993), 2–23.
[35] Y. Katznelson. An Introduction to Harmonic Analysis. Dover Books on advanced Mathematics.
Dover Publications, 2. edition, 1976.
[36] A. Ya. Khinchin. Continued fractions. University of Chicago Press, 3rd edition, 1964.
Reprinted by Dover 1997.
[37] A. N. Kolmogoroff. A remark on the polynomials fo Chebyshev, deviating at least from a
given function. Ushepi, 3 (1948), 216–221. Probably in Russian.
[38] A. N. Kolmogoroff. On the representation of continuous functions of several variables
by superposition of continuous functions of one variable and addition. Dokl. Akad. Nauk.
SSSR, 114 (1957), 369–373.
[39] N. P. Korneǐčuk. The best uniform approximation of differentiable functions. Dokl. Akad.
Nauk. SSSR, 141 (1961), 304–307. Probably in Russian.
[40] N. P. Korneǐčuk. The exact constant in the theorem of D. Jackson on the best uniform approximation
of continuous periodic functions. Dokl. Akad. Nauk. SSSR, 145 (1962), 514–
515. Probably in Russian.
[41] N. P. Korneǐčuk. On the existence of a linear polynomial operator which gives best approximation
on a class of functions. Dokl. Akad. Nauk. SSSR, 143 (1962), 25–27. Probably
in Russian.
[42] N. P. Korneǐčuk. The best approximation of continuous functions. Izv. Akad. Nauk. SSSR,
27 (1963), 29–44. Probably in Russian.
[43] E. Kreyszig. Introductionary Functional Analysis with Applications. John Wiley & Sons,
1978.
[44] H. Kuhn. Ein elementarer Beweis des Weierstraßschen Approximationssatzes. Arch.
Math., 15 (1964), 316–317.