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

Colloquium Mathematicae (1993)

- Volume: 64, Issue: 1, page 135-140
- ISSN: 0010-1354

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top## How to cite

topZhou, S.. "A note on lacunary approximation on [-1,1]." Colloquium Mathematicae 64.1 (1993): 135-140. <http://eudml.org/doc/210163>.

@article{Zhou1993,

author = {Zhou, S.},

journal = {Colloquium Mathematicae},

keywords = {lacunary polynomials; degree of approximation},

language = {eng},

number = {1},

pages = {135-140},

title = {A note on lacunary approximation on [-1,1]},

url = {http://eudml.org/doc/210163},

volume = {64},

year = {1993},

}

TY - JOUR

AU - Zhou, S.

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

JO - Colloquium Mathematicae

PY - 1993

VL - 64

IS - 1

SP - 135

EP - 140

LA - eng

KW - lacunary polynomials; degree of approximation

UR - http://eudml.org/doc/210163

ER -

## References

top- [1] P. B. Borwein, The usual behavior of rational approximations, Canad. Math. Bull. 26 (1983), 317-323. Zbl0488.41017
- [2] M. Hasson, Comparison between the degree of approximation by lacunary and ordinary algebraic polynomials, J. Approx. Theory 29 (1980), 103-115. Zbl0456.41016
- [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. Zbl0696.41005
- [10] S. P. Zhou, A remark on two conjectures of Hasson concerning lacunary approximation, Anal. Math., in press. Zbl0797.41009

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