Overiteration of d-variate tensor product Bernstein operators: A quantitative result (Dedicated to the memory of Professor Sorin Gal)
DOI:
https://doi.org/10.24193/subbmath.2024.4.13Keywords:
Positive linear operators, Bernstein operators, second order moduli, d-variate approximation, tensor product approximation, product of parametric extensionsAbstract
Extending an earlier estimate for the degree of approximation of over iterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case. The method employed can be carried over to many other cases and is not restricted to Bernstein-type or similar methods.
Mathematics Subject Classification (2010): 41A10, 41A17, 41A25, 41A36, 41A63.
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