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Abstract In this paper, by using regular summability methods we modify the Bernstein–Chlodovsky operators in order get more general and powerful results than the classical aspects. We study Korovkin-type approximation… Click to show full abstract
Abstract In this paper, by using regular summability methods we modify the Bernstein–Chlodovsky operators in order get more general and powerful results than the classical aspects. We study Korovkin-type approximation theory on weighted spaces. As a special case, it is possible to Cesàro approximate (arithmetic mean convergence) to the test function although it fails for the classical Bernstein–Chlodovsky operators. At the end of the paper, we extend our results to the multi-dimensional case.
Keywords:
summability methods;
chlodovsky operators;
bernstein chlodovsky;
approximation
Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2021
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Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!