Min’ko, A. A.; Petunin, Yu. I. Convergence of the least squares method in the uniform metric. (English. Russian original) Zbl 0723.65008 Sib. Math. J. 31, No. 2, 279-288 (1990); translation from Sib. Mat. Zh. 31, No. 2(180), 111-122 (1990). See the review in Zbl 0704.65007. MSC: 65D10 Numerical smoothing, curve fitting 41A10 Approximation by polynomials 41A25 Rate of convergence, degree of approximation Keywords:method of least squares; uniform metric; least squares approximation; uniform convergence; rate of convergence PDF BibTeX XML Cite \textit{A. A. Min'ko} and \textit{Yu. I. Petunin}, Sib. Math. J. 31, No. 2, 279--288 (1990; Zbl 0723.65008); translation from Sib. Mat. Zh. 31, No. 2(180), 111--122 (1990) Full Text: DOI References: [1] I. I. Sharapudinov, ?On the convergence of the Fourier-Chebyshev sums,? Vychisl. Mat. Mat. Fiz. Respublik. Mezhvuzov. Tematicheskii Sb.,2, pp. 275-288 (1975). [2] I. I. Sharapudinov, ?On interpolation by the method of least squares,? in: Vychisl. Mat. Programmirovanie, MGPI, Moscow (1976), pp. 173-181. [3] I. I. Sharapudinov, ?Some properties of polynomials orthogonal on a finite system of points,? Izv. Vuzov. Mat., No. 5, 85-88 (1983). · Zbl 0525.33008 [4] I. K. Daugavet, Introduction to the Theory of Approximation of Functions [in Russian], LGU, Leningrad (1977). · Zbl 0414.41001 [5] P. K. Suetin, Classical Orthogonal Polynomials [in Russian], Nauka, Moscow (1979). · Zbl 0449.33001 [6] A. F. Nikiforov, S. K. Suslov and V. B. Uvarov, Classical Orthogonal Polynomials in a Discrete Variable [in Russian], Nauka, Moscow (1985). · Zbl 0642.33020 [7] G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Public., Providence, Rhode Island (1939); revised edition (1979). [8] M. Abramowitz and I. A. Stegun (ed.), Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series,55, Washington, D. C. (1964). · Zbl 0171.38503 [9] Y. L. Luke, The Special Functions and their Approximations,I, II. Academic Press, New York (1969). · Zbl 0193.01701 [10] V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977). · Zbl 0481.41001 [11] E. Reingold U. Nivergelt and N. Deo, Combinatorial Algorithms. Theory and Practice, Prentice Hall, New Jersey (1977). 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.