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On the uniform convergence of interpolatory polynomials
Published online by Cambridge University Press: 09 April 2009
Abstract
Here we consider a problem on weighted (0, 2) interpolation. We choose the interpolatory conditions in such a way that we get the polynomial of degree ≤2n−1, satisfying those conditions. Moreover we prove that the sequence of these interpolatory polynomials under certain conditions converges uniformly to a function belonging to the Zygmund class.
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- Research Article
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- Copyright © Australian Mathematical Society 1979
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