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Binomial polynomials and their applications in approximation theory. (English) Zbl 1008.05010
The first part of this paper is a survey of umbral calculus as developed by Rota and his coworkers. In the second part, applications concerning the construction of sequences of linear approximation operators are given.

##### MSC:
 05A40 Umbral calculus 41A10 Approximation by polynomials 41A29 Approximation with constraints 65D15 Algorithms for approximation of functions