On the rate of convergence of Bernstein power series for functions of bounded variation (Q583529)
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scientific article; zbMATH DE number 4132821
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of convergence of Bernstein power series for functions of bounded variation |
scientific article; zbMATH DE number 4132821 |
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On the rate of convergence of Bernstein power series for functions of bounded variation (English)
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1989
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This paper is concerned with unmodified, modified and extended Bernstein power series operators and Meyer-König Zeller operators. The rates of convergence are obtained for both continuous functions and discontinuous functions of bounded variation. Furthermore, inequalities of the type \(L_ nf\geq L_{n+1}f\) are discussed for convex functions \(f\in C[0,1]\).
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Bernstein power series operators
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Meyer-König Zeller operators
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rates of convergence
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