Kornejchuk, N. P.; Polovina, A. I. Algebraic-polynomial approximation of functions satisfying a Lipschitz condition. (English) Zbl 0226.41002 Math. Notes 9, 254-257 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Review MSC: 41A10 Approximation by polynomials 41A15 Spline approximation 41A25 Rate of convergence, degree of approximation PDF BibTeX XML Cite \textit{N. P. Kornejchuk} and \textit{A. I. Polovina}, Math. Notes 9, 254--257 (1971; Zbl 0226.41002) Full Text: DOI References: [1] S. M. Nikol’skii, ?The best approximation of functions satisfying a Lipschitz condition,? Izv. Akad. Nauk SSSR, Ser. Matem.,10, 295-318 (1946). [2] N. P. Korneichuk, ?Best uniform approximations to certain classes of continuous functions,? Dokl. Akad. Nauk SSSR,140, 748-751 (1961). [3] O. I. Polovina, ?Best approximations of continuous functions on [?1, 1],? Dopovidi Akad. Nauk UkrSSR, No. 6, 722-725 (1964). · Zbl 0132.29103 [4] N. P. Korneichuk and A. I. Polovina, ?Approximation of continuous and differentiable functions by algebraic polynomials on an interval,? Dokl. Akad. Nauk SSSR,166, 281-283 (1966). [5] N. P. Korneichuk, ?Best approximation of continuous functions,? Izv. Akad. Nauk SSSR, Ser. Matem.,27, 29-44 (1963). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.