دانلود کتاب Strong Asymptotics for Extremal Polynomials Associated with Weights on ℝ

فهرست مطالب :

Introduction....Pages 1-11
Notation and index of notation....Pages 12-16
Statement of main results....Pages 17-23
Weighted polynomials and zeros of extremal polynomials....Pages 24-27
Integral equations....Pages 28-39
Polynomial approximation of potentials....Pages 40-48
Infinite-finite range inequalities and their sharpness....Pages 49-56
The largest zeros of extremal polynomials....Pages 57-66
Further properties of U n, R (x)....Pages 67-72
Nth root asymptotics for extremal polynomials....Pages 73-79
Approximation by certain weighted polynomials, I....Pages 80-90
Approximation by certain weighted polynomials, II....Pages 91-110
Bernstein\'s formula and bernstein extremal polynomials....Pages 111-119
Proof of the asymptotics for E np (W)....Pages 120-127
Proof of the asymptotics for the L p extremal polynomials....Pages 128-135
The case p=2 : Orthonormal polynomials....Pages 136-145