Titlebook: Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces; Ivan Singer Book 1970 Springer-Verlag Berlin Heidelberg 1970 A

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https://doi.org/10.1007/978-3-319-12652-4such elements . do not exist, throughout the sequel by “l(fā)inear subspace” .?. we shall understand “proper linear subspace . which is not dense in .”, that is, we shall assume, without special mention, that ..

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Mohammad Belayet Hossain,P. W. C. Prasad“deviation” of the polynomial ..(.) from the function .(.) on the segment [.] be the least possible among the deviations of all algebraic polynomials . of degree ?.—1, or, in other words, the problem of . of the function .(.) by algebraic polynomials .(.) of degree ?.—1.

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Cloud IT as a Base for Virtual Internship., and every element . ∈ . can be written, uniquely, in the form.where α.,..., α. are scalars (real or complex, according to the space .); the linear combinations (1.1) are also called . (in ..,..., ..).

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Introduction,ury ago [32], the problem of finding, for a real continuous function .(.) on a segment [a, 6], an algebraic polynomial . of degree ?.—1 such that the “deviation” of the polynomial ..(.) from the function .(.) on the segment [.] be the least possible among the deviations of all algebraic polynomials

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