Velikin, V. L. On an asymptotic connection between the approximation of periodic functions by splines and by trigonometric polynomials. (English. Russian original) Zbl 0523.41007 Sov. Math., Dokl. 23, 540-544 (1981); translation from Dokl. Akad. Nauk SSSR 258, 525-529 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 41A15 Spline approximation 41A25 Rate of convergence, degree of approximation 42A10 Trigonometric approximation 41A05 Interpolation in approximation theory 41A50 Best approximation, Chebyshev systems Keywords:approximation of periodic functions by splines; by trigonometric polynomials; best approximate PDF BibTeX XML Cite \textit{V. L. Velikin}, Sov. Math., Dokl. 23, 540--544 (1981; Zbl 0523.41007); translation from Dokl. Akad. Nauk SSSR 258, 525--529 (1981)