The Properties Of Modified q-Bernstein Polynomials for Functions Of Several Variables With Their Generating Function And Interpolation Function

Details The Properties Of Modified q-Bernstein Polynomials for Functions Of Several Variables With Their Generating Function And Interpolation Function The Properties Of Modified q-Bernstein Polynomials for Functions Of Several Variables With Their Generating Function And Interpolation Function

2011-11-21

arxiv.org/abs/1111.4849v1

Mathematics

Number Theory

12 pages, submitted

Scientific paper

The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions of several variables. By using these polynomials, recurrence formulas and some new interesting identities related to the second Stirling numbers and generalized Bernoulli polynomials are derived. Moreover, the generating function and interpolation function of these polynomials of several variables and also the derivatives of these polynomials and their generating function are given.

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