论文信息 - Erdös-Turán type discrepancy bounds - 字舞流文

Erdös-Turán type discrepancy bounds

By a recent method of J. Vaaler an inequality for the spherical cap discrepancy of a point sequence on thed-dimensional sphere is established.

Peter J. Grabner | P. Grabner

[1] E. Hlawka. Theorie der Gleichverteilung , 1979 .

[2] J. Beck,et al. Irregularities of distribution , 1987 .

[3] H. Weyl. Über die Gleichverteilung von Zahlen mod. Eins , 1916 .

[4] J. Beck,et al. Irregularities of distribution , 1987 .

[5] J. Vaaler,et al. Some Extremal Functions in Fourier Analysis, III , 1985, 0809.4053.

[6] Some theorems on diophantine inequalities , 1950 .

[7] Lauwerens Kuipers,et al. Uniform distribution of sequences , 1974 .

[8] Wolfgang M. Schmidt. Irregularities of distribution. IV , 1969 .

[9] Eugene P. Wigner,et al. Formulas and Theorems for the Special Functions of Mathematical Physics , 1966 .

[10] József Beck,et al. Irregularities of distribution: Index of theorems and corollaries , 1987 .

[11] Todd Cochrane. Trigonometric approximation and uniform distribution modulo one , 1988 .