scholarly journals Christoffel Functions and Orthogonal Polynomials for Exponential Weights on [−1, 1], Memoirs of the American Mathematical Society 535, A.L. Levin and D.S. Lubinsky, Amer. Math. Soc., Providence, RI, 1994, xiii + 146 pp

1995 ◽  
Vol 82 (3) ◽  
pp. 472-473
Author(s):  
W. Van Assche
Keyword(s):  
Orthogonal Polynomials ◽  
American Mathematical Society ◽  
Mathematical Society ◽  
Exponential Weights ◽  
Christoffel Functions

scholarly journals Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)

2020 ◽  
Vol 18 (1) ◽  
pp. 138-149
Author(s):  
Rong Liu
Keyword(s):  
Orthogonal Polynomial ◽  
Orthogonal Polynomials ◽  
Lagrange Interpolation ◽  
Restricted Range ◽  
Exponential Weights ◽  
Christoffel Functions

Abstract Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > – $\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1. This paper deals with orthogonal polynomials for the weights $\begin{array}{} \displaystyle W^2_{\alpha, \rho} \end{array}$ and gives bounds on orthogonal polynomials, zeros, Christoffel functions and Markov inequalities. In addition, estimates of fundamental polynomials of Lagrange interpolation at the zeros of the orthogonal polynomial and restricted range inequalities are obtained.

scholarly journals Citations versus expert opinions: citation analysis of featured reviews of the American Mathematical Society

2021 ◽  
Vol 126 (5) ◽  
pp. 3853-3870
Author(s):  
Lawrence Smolinsky ◽  
Daniel S. Sage ◽  
Aaron J. Lercher ◽  
Aaron Cao
Keyword(s):  
Citation Analysis ◽  
American Mathematical Society ◽  
Mathematical Society ◽  
Expert Opinions

THE AMERICAN MATHEMATICAL SOCIETY

Science ◽  
1922 ◽  
Vol 55 (1431) ◽  
pp. 600-602
Author(s):  
R. G. D. Richardson
Keyword(s):  
American Mathematical Society ◽  
Mathematical Society
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