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The Lototsky Transform and Bernstein Polynomials

Published online by Cambridge University Press:  20 November 2018

J. P. King
J. P. King*
Affiliation:
Lehigh University
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 89 - 91
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Cheney, E. W. and Sharma, A., Bernstein power series, Can. J. Math., 16 (1964), 241–252.Google Scholar
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. Jakimovski, A., A generalization of the Lototsky method of summability, Michigan Math. J., (1959), 277–290.Google Scholar
4. Korovkin, P., Linear operators and approximation theory (translated from Russian edition of 1959, Delhi, 1960).Google Scholar
5. Meyer-König, W. and Zeller, K., Bernsteinsche Potenzreihen, Studia Math., 19 (1960), 89–94.Google Scholar