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Boundedness by 3 of the Whitney Interpolation Constant
Authors:J. Gilewicz   Yu. V. Kryakin  I. A. Shevchuk  
Affiliation:a Centre de Physique Théorique, CNRS, Luminy, Case 907, F-13288, Marseille, Cedex 9, Francef1;b Institute of Mathematics, University of Wroclaw, 50-384, Wroclaw, pl. Grunwaldzki 2/4, Polandf2;c Faculty of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv, 01017, Kyiv, Ukrainef3
Abstract:
Let the function fC[0,1] satisfy f(. We prove the estimate

.
Keywords:Whitney constant   interpolation   modulus of smoothness.
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