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Piecewise Linear Interpolation With Nonequidistant Nodes
Authors:Gancho T Tachev
Institution:Dept. of Mathematics , University of Architecture, Civil Engineering and Geodesy , Sofia , BG , 1421 , Bulgaria E-mail: gtt_fte@uacg.acad.bg
Abstract:Pointwise and norm estimates for approximation of continuous function by piecewise linear interpolant with nonequidistant nodes are proved. Special attention is paid to the value of the absolute constants in front of the modulus.
Keywords:41A10  41A15  41A36  Ditzian-Totik moduli of smoothness  positive linear operators  piecewise linear interpolation
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