Titlebook: Bernstein Operators and Their Properties; Jorge Bustamante Book 2017 Springer International Publishing AG 2017 Bernstein operators.moduli

GROSS

Bernstein Polynomials as Linear Operators,Recall that, if (., ∥ ∘ ∥ .) and (., ∥ ∘ ∥ .) are normed spaces and .: . → . is a continuous linear operator, then the norm of . is defined as . Moreover, a linear operator .: . → . is continuous if and only if ∥ . ∥ . < ..

尖叫

Upper Error Estimates of Bernstein Operators,In the first section of this chapter we present some auxiliary results. Concretely, we give some properties concerning positive linear operators.

Vital-Signs

Bernstein-Type Inequalities,For studying inverse results it is important to have on hand some particular expressions for the derivatives of Bernstein operators, as well as various estimates involving these derivatives. We first study pointwise estimates. As before, we set ..

Nucleate

最小

Iterates of Bernstein Polynomials,For . ∈ .[0, 1] and ., one has

arterioles

Crohns-disease

Final Comments,For complex functions we do not find such a good variety of results as the ones presented in previous chapters. For instance, there are no converse results.

让步

forager

https://doi.org/10.1007/978-3-319-55402-0Bernstein operators; moduli of smoothness; rate of approximation; Bernstein inequality; sub-additive maj

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