Abstract
In this paper we are concerned with the sequences of polynomials of binomial type. In particular we point out their remarkable algebraic-combinatorial properties related to the so called delta operators as used in a sseries of papers on the foundations of combinatorial theory, see [23], [27]. In order to detail theis field, the theoretical aspects are illustrated with several concrete examples. The paper is also a survey of the role of these polynomials in Approximation Theory and it includes the construction of general binomial type operators and their main approximation properties.
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Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
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O. Agratini, Binomial polynomials and their applications in Approximation Theory, Conferenze del Seminario di Matematica dell Universita di Bari, 281 (2001), pp. 1-22.
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