GROSS 发表于 2025-3-25 05:40:43

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 发表于 2025-3-25 10:51:01

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 发表于 2025-3-25 15:07:02

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 发表于 2025-3-25 16:13:30

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最小 发表于 2025-3-25 21:02:37

Iterates of Bernstein Polynomials,For . ∈ . and ., one has

arterioles 发表于 2025-3-26 01:07:24

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Crohns-disease 发表于 2025-3-26 06:49:57

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 发表于 2025-3-26 09:26:17

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forager 发表于 2025-3-26 13:46:39

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

滋养 发表于 2025-3-26 19:49:06

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查看完整版本: Titlebook: Bernstein Operators and Their Properties; Jorge Bustamante Book 2017 Springer International Publishing AG 2017 Bernstein operators.moduli