Shape preserving approximation on the real line with exponential weights

Journal of Approximation Theory

Volumn 157, Issue 2, 2009, Pages 127-133

  Maizlish, Oleksandr ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

Freud's weights; k monotone approximation; Weighted approximation

Indexed keywords

EID: 62249153954     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2008.07.005     Document Type: Article

References (7)

1. Bernstein S.N. Le probleme de l'approximation des fonctions continues sur tout laxe reel et lune de ses applications. Bull. Math. Soc. France 52 (1924) 399-410
2. Bullen P.S. A criterion for n-convexity. Pacific J. Math. 36 (1971) 81-98
3. Koosis P. The Logarithmic Integral I (1988), Cambridge University Press, Cambridge
4. Leviatan D. Shape preserving approximation by polynomials. J. Comput. Appl. Math. 121 (2000) 73-94
5. Lubinsky D.S. A survey of weighted polynomial approximation with exponential weights. Surv. Approx. Theory (2007)
6. Pollard H. Solution of Bernstein's approximation problem. Proc. Amer. Math. Soc. 4 (1953) 869-875
7. Roberts A.W., and Varberg D.E. Convex Functions (1973), Academic Press, New York