A note on lacunary approximation on [-1,1]

• Autorzy: S. P. Zhou
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 64
• Numer: 1
• Strony: 135-140

Daty

wydano

1993

otrzymano

1992-03-27

Twórcy

autor

S. P. Zhou

• Department of Mathematics, Statistics, And Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5

Bibliografia

• [1] P. B. Borwein, The usual behavior of rational approximations, Canad. Math. Bull. 26 (1983), 317-323.
• [2] M. Hasson, Comparison between the degree of approximation by lacunary and ordinary algebraic polynomials, J. Approx. Theory 29 (1980), 103-115.
• [3] M. Hasson, Approximation by lacunary polynomials, in: Approximation Theory IV, Academic Press, New York 1983, 505-508.
• [4] M. Hasson and O. Shisha, Approximation by lacunary polynomials: a converse theorem, in: Approximation Theory and Applications, Academic Press, New York 1981, 311-317.
• [5] D. Leviatan, Improved estimates in Müntz Jackson theorems, in: Progress in Approximation Theory, Academic Press, New York 1991, 575-582.
• [6] G. G. Lorentz, Problems for incomplete polynomials, in: Approximation Theory III, Academic Press, New York 1980, 41-73.
• [7] Ch. H. Müntz, Über den Approximationssatz von Weierstrass, in: H. A. Schwarz Festschrift, Berlin 1914, 303-312.
• [8] S. S. Xu, On two conjectures of M. Hasson, J. Math. Res. Exposition 7 (1) (1987), 35-40. MR 89b:41015.
• [9] C. M. Yang, A counterexample to a conjecture of Hasson, J. Approx. Theory 56 (1989), 330-332.
• [10] S. P. Zhou, A remark on two conjectures of Hasson concerning lacunary approximation, Anal. Math., in press.