Construction a new generating function of Bernstein type polynomials
نویسندگان
چکیده
منابع مشابه
A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
and Applied Analysis 3 Observe that the Bernstein polynomial of degree n, Bnf , uses only the sampled values of f at tnj j/n, j 0, 1, . . . , n. For j 0, 1, . . . , n, βj,n x ≡ n 1 Bj,n x , 0 ≤ x ≤ 1, 2.5 is the density function of beta distribution beta j 1, n 1 − j . Let yn x be a binomial b n, x random variable. Then E { yn x } nt, var { yn x } E { yn x − nx }2 nx 1 − x , Bnf x E [ f { yn x ...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2011
ISSN: 0096-3003
DOI: 10.1016/j.amc.2011.01.074