Direct and Inverse Theorems on Approximation by Piecewise Polynomial Functions
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The paper is concerned with some characteristics of approximation by piecewise polynomial functions with nonfixed knots in various integral metrics L p [a, b], 0 < p≤∞.
KeywordsSpline Function Hardy Inequality Admissible Function Piecewise Constant Function Hardy Type
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- 2.Yu. A. Brudnyĭ, “Adaptive approximation of functions with singularities,” Tr. Mosk. Mat. Obshch., 55, 149–242 (1994).Google Scholar
- 3.Z. A. Chanturia, “The modulus of variation of a function and its applications in the theory of Fourier series,” Sov. Math. Dokl., 15, 67–71 (1974).Google Scholar
- 5.V. A. Popov, “On the connection between rational and spline approximation,” C. R. Acad. Bulg. Sci., 27, No. 5, 623–626 (1974).Google Scholar
- 7.S. B. Stechkin, “A certain optimization problem,” in Numerische Methoden der Approximationtheorie, Vol. I, Birkhäuser, Basel (1972), pp. 205–208.Google Scholar
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