On discrepancy theorems with applications to approximation theory

 Access to full text

 Full (PDF)

1. [1] H.-P. Blatt, E. B. Saff and V. Totik, The distribution of extreme points in best complex polynomial approximation, Constr. Approx. 5 (1989), 357-370. Zbl0705.41030
2. [2] H.-P. Blatt and R. Grothmann, Erdős-Turán theorems on a system of Jordan curves and arcs, ibid. 7 (1991), 19-47. Zbl0764.30003
3. [3] H.-P. Blatt, On the distribution of simple zeros of polynomials, Approx. Theory 69 (1992), 250-268. Zbl0757.41011
4. [4] H.-P. Blatt, Verteilung der Nullstellen von Polynomen auf Jordanbögen, in: P. Ganzinger (ed.), Informatik, Festschrift zum 60. Geburstag von G. Hotz, Teubner, Stuttgart, 1992. 
5. [5] H.-P. Blatt and H. N. Mhaskar, A general discrepancy theorem, Ark. Mat., to appear. Zbl0797.30032
6. [6] P. Erdős and P. Turán, On the uniformly dense distribution of certain sequences of points, Ann. Math. 41 (1940), 162-173. Zbl66.0347.01
7. [7] P. Erdős and P. Turán, On the uniformly dense distribution of certain sequences of points, ibid. 51 (1950), 105-119. 
8. [8] T. Ganelius, Sequences of analytic functions and their zeros, Ark. Mat. 3 (1953), 1-50. 
9. [9] R. Grothmann, Interpolation points and zeros of polynomials in approximation theory, Habilitationsschrift, Kath. Universität Eichstätt, 1993. 
10. [10] M. I. Kadec, On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials, Amer. Math. Soc. Transl. (2)26 (1963), 231-234. 
11. [11] W. Kleiner, Sur l'approximation de la représentation conforme par la méthode des points extrémaux de M. Leja, Ann. Polon. Math. 14 (1964), 131-140. Zbl0128.07004
12. [12] N. S. Landkof, Foundations of Modern Potential Theory, Springer, New York, 1972. 
13. [13] H. N. Mhaskar, Some discrepancy theorems, in: Approximation Theory, Tampa, E. B. Saff (ed.), Lecture Notes in Math. 1287, Springer, New York, 117-131. 
14. [14] M. Mignotte, Remarque sur une question relative à des fonctions conjuguées, C. R. Acad. Sci. Paris, to appear. Zbl0773.31002
15. [15] Ch. Pommerenke, Über die Verteilung der Fekete-Punkte, Math. Ann. 168 (1967), 111-127. Zbl0145.31701
16. [16] Ch. Pommerenke, Über die Verteilung der Fekete-Punkte II, ibid. 179 (1969), 212-218. 
17. [17] P. Sjögren, Estimates of mass distributions from their potentials and energies, Ark. Mat. 10 (1972), 59-77. Zbl0232.31009
18. [18] V. Totik, Distribution of simple zeros of polynomials, Acta Math. 170 (1993), 1-28. Zbl0888.41003
19. [19] M. Tsuji, Potential Theory in Modern Function Theory, Chelsea, New York, 1950. Zbl0087.28401
20. [20] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloq. Publ. 20, 5th ed., Providence, 1969. 
21. [21] H. Widom, Extremal polynomials associated with a system of curves in the complex plane, Adv. in Math. 3 (1969), 127-232. Zbl0183.07503