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ditzian–totik modulus of smoothness

Proceedings of the Edinburgh Mathematical Society (1)

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Direct and converse results for q-Bernstein operators
Part of
- Approximations and expansions
Zoltán Finta
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 52 / Issue 2 / June 2009

Published online by Cambridge University Press:

28 May 2009, pp. 339-349
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Direct and converse theorems are established for the q-Bernstein polynomials introduced by G. M. Phillips. The direct approximation theorems are given for the second-order Ditzian–Totik modulus of smoothness. The converse results are theorems of Berens–Lorentz type.