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Physical Sciences and Mathematics Commons

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Old Dominion University

Mathematics & Statistics Faculty Publications

1994

Approxination operator

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Full-Text Articles in Physical Sciences and Mathematics

Characterization Of The Local Lipschitz Constant, M. W. Bartelt, J. J. Swetits Jan 1994

Characterization Of The Local Lipschitz Constant, M. W. Bartelt, J. J. Swetits

Mathematics & Statistics Faculty Publications

A characterization, using polynomials introduced by A. V. Kolushov, is given for the local Lipschitz constant for the best approximation operator in Chebyshev approximation from a Haar set. The characterization is then used to study the existence of uniform local Lipschitz constants.