Oser, avec l’impossible

Lopez, Anne

doi:10.3917/chla.001.0107

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Construction Generating Functions Of Bernstein Type Polynomials1

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2011

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“…By using same method of Lopez and Temme' [5], we give contour integral representation of S n (bs, x) as follows:…”

Section: Construction Generating Functions Of Bernstein Type Polynomialsmentioning

confidence: 99%

Construction a new generating function of Bernstein type polynomials

Şimşek

2011

Applied Mathematics and Computation

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Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties this generating functions are given. By applying this generating function, not only derivative of these polynomials but also recurrence relations of these polynomials are found. Interpolation function of these polynomials is also constructed via Mellin Transformation. This function interpolates these polynomials at negative integers which are given explicitly. Moreover, relations between these polynomials, the generalized Stirling numbers, and Bernoulli polynomials of higher order are given. Furthermore some applications associated with B\'ezier curve are given.Comment: 7 page

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“…By using same method of Lopez and Temme' [5], we give contour integral representation of S n (bs, x) as follows:…”

Section: Construction Generating Functions Of Bernstein Type Polynomialsmentioning

confidence: 99%