Chebyshev Polynomials on a System of Continua
نویسندگان
چکیده
منابع مشابه
a study on construction of iranian life tables: the case study of modified brass logit system
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We are concerned with the problem of minimizing the supremum norm on [0, 1] of a nonzero polynomial of degree at most n with integer coefficients. We use the structure of such polynomials to derive an efficient algorithm for computing them. We give a table of these polynomials for degree up to 75 and use a value from this table to answer an open problem due to P. Borwein and T. Erdélyi and impr...
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a0Tn(x) + a1Tn−1(x) + · · ·+ amTn−m(x) where (a0, a1, . . . , am) is a fixed m-tuple of real numbers, a0, am 6= 0, Ti(x) are Chebyshev polynomials of the first kind, n = m, m + 1, m + 2, . . . Here we analyze the structure of the set of zeros of such polynomial, depending on A and its limit points when n tends to infinity. Also the expression of envelope of the polynomial is given. An applicati...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2015
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-015-9280-8