A relation between spline approximation and the problem of the approximation of one class by another |
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Authors: | Yu No Subbotin |
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Institution: | (1) V. A. Steklov Mathematics Institute, Sverdlovsk Branch, Academy of Sciences of the USSR, USSR |
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Abstract: | An investigation of the approximation in Lq(– , ) of differentiable functions whose k-th derivatives belong to Lp(– , ), by splines Sm (x) with nonfixed nodes, under the extra assumption that the norms in Ls(– , ) of theirl-th derivatives have a common bound. A relation is established with the problem of approximating functions of one class by functions of another class.Translated from Matematicheskie Zametki, Vol. 9, No. 5, pp. 501–510, May, 1971. |
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