References
Borosh, I., Chui, C.K., Smith, P.W.: On approximation ofx N by incomplete polynomials. J. Approximation Theory24, 227–235 (1978)
Kemperman, J.H.B., Lorentz, G.G.: Bounds for polynomials with applications. Nederl. Akad. Wetensch. Proc. Ser. A.82, 13–26 (1979)
Lachance, M., Saff, E.B., Varga, R.S.: Bounds for incomplete polynomials vanishing at both endpoints of an interval. In: Constructive Approaches to Mathematical Models (C.V. Coffman, and G.J. Fix, eds.). Proceedings of a Conference in Honor of R.J. Duffin (Pittsburgh 1978), pp. 421–437. New York-London-San Francisco: Academic Press 1979
Lorentz, G.G.: Approximation by incomplete polynomials (problems and results). In: Padé and Rational Approximation: Theory and Applications (E.B. Saff and R.S. Varga, eds.). Proceedings of a Symposium (Tampa 1976). pp. 289–302. New York-San Francisco-London: Academic Press 1977
Lorentz, G.G.: Problems for incomplete polynomials. In: Approximation Theory III (E.W. Cheney, ed.). Proceedings of a Conference in Honor of G.G. Lorentz (Austin, 1980), pp. 41–73. New York-London-San Francisco: Academic Press 1980
Saff, E.B., Ullman, J.L., Varga, R.S.: Incomplete polynomials: an electrostatics approach. In: Approximation Theory III (E.W. Cheney, ed.). Proceedings of a Conference in Honor of G.G. Lorentz (Austin, 1980), pp. 769–782. New York-London-San Francisco: Academic Press 1980
Saff, E.B., Varga, R.S.: The sharpness of Lorentz's theorem on incomplete polynomials. Trans. Amer. Math. Soc.249, 163–186 (1979)
Saff, E.B., Varga, R.S.: On incomplete polynomials. In: Numerische Methoden der Approximationstheorie, Band 4 (L. Collatz, G. Meinardus, and H. Werner, eds.), pp. 281–298. International Series of Numerical Mathematics 42. Basel-Stuttgart: Birkhäuser 1978
Saff, E.B., Varga, R.S.: Uniform approximation by incomplete polynomials. Internat. J. Math. Sci.1, 407–420 (1978)
Saff, E.B., Varga, R.S.: On incomplete polynomials. II. Pacific J. Math. (to appear)
Smith, P.W.: An improvement theorem for Descartes systems. Proc. Amer. Math. Soc.,70, 26–30 (1978)
Szegö, G.: Orthogonal Polynomials. Colloquium Publication, Vol. XXIII, 4th Ed., Providence, Rhode Island: American Mathematical Society 1975
Timan, A.F.: Theory of Approximation of Functions of a Real Variable. New York: Pergamon Press 1963
Author information
Authors and Affiliations
Additional information
Research supported in part by the National Science Foundation, and by the Air Force Office of Scientific Research
Research supported in part by the Air Force Office of Scientific Research, and by the Department of Energy
Rights and permissions
About this article
Cite this article
Saff, E.B., Varga, R.S. On lacunary incomplete polynomials. Math Z 177, 297–314 (1981). https://doi.org/10.1007/BF01162064
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01162064