Open AccessON THE GENERATING FUNCTION FOR BERNSTEIN POLYNOMIALS OF TRIPLE SEQUENCES
Author(s) -
Arulmani İndumathi,
Ayhan Eşi,
S. Nagarajan
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.1-a10
Subject(s) - mathematics , bernstein polynomial , sequence (biology) , generating function , orthogonal polynomials , recurrence relation , function (biology) , macdonald polynomials , difference polynomials , classical orthogonal polynomials , pure mathematics , wilson polynomials , discrete orthogonal polynomials , algebra over a field , combinatorics , evolutionary biology , biology , genetics
The aim of this paper is to give main properties of the generating function of the Bernstein polynomials of triple sequence spaces. It was proved the recurrence relations and derivative formula for Bernstein polynomials of triple sequences. Further more, some new results are obtained by using this generating function of these polynomials.