Geodesic
The Lototsky Transform and Bernstein Polynomials
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 89-91

Voir la notice de l'article provenant de la source Cambridge University Press

The Bernstein polynomials 1 associated with a function f denned on [0, 1] have been the subject of much recent research and have been generalized in several directions (1 ; 2 ; 5). The generalized Lototsky or [F, dn ] matrix (3) has also been the subject of extensive research. 
King, J. P. The Lototsky Transform and Bernstein Polynomials. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 89-91. doi: 10.4153/CJM-1966-011-1
@article{10_4153_CJM_1966_011_1,
     author = {King, J. P.},
     title = {The {Lototsky} {Transform} and {Bernstein} {Polynomials}},
     journal = {Canadian journal of mathematics},
     pages = {89--91},
     year = {1966},
     volume = {18},
     number = {1},
     doi = {10.4153/CJM-1966-011-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-011-1/}
}
TY  - JOUR
AU  - King, J. P.
TI  - The Lototsky Transform and Bernstein Polynomials
JO  - Canadian journal of mathematics
PY  - 1966
SP  - 89
EP  - 91
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-011-1/
DO  - 10.4153/CJM-1966-011-1
ID  - 10_4153_CJM_1966_011_1
ER  - 
%0 Journal Article
%A King, J. P.
%T The Lototsky Transform and Bernstein Polynomials
%J Canadian journal of mathematics
%D 1966
%P 89-91
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-011-1/
%R 10.4153/CJM-1966-011-1
%F 10_4153_CJM_1966_011_1

[1] 1. Cheney, E. W. and Sharma, A., Bernstein power series, Can. J. Math., 16 (1964), 241–252. Google Scholar

[2] 2. Gergen, J. J., Dressel, F. G., and Purcell, W. H. Jr., Convergence of extended Bernstein polynomials in the complex plane, Pacific J. Math., 13 (1963), 1171–1180. Google Scholar

[3] 3. Jakimovski, A., A generalization of the Lototsky method of summability, Michigan Math. J., (1959), 277–290. Google Scholar

[4] 4. Korovkin, P., Linear operators and approximation theory (translated from Russian edition of 1959, Delhi, 1960). Google Scholar

[5] 5. Meyer-König, W. and Zeller, K., Bernsteinsche Potenzreihen, Studia Math., 19 (1960), 89–94. Google Scholar

Cité par Sources :