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arXiv 2402.16485math.CA
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d元张量积Bernstein算子的过度迭代:一个定量结果

Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result

Ana-Maria Acu, Heiner Gonska

AI总结:

本文将一元Bernstein算子过度迭代的逼近度估计推广到d元张量积情形,并指出所用方法具有广泛适用性,不限于Bernstein型算子。

摘要:

本文将早先关于过度迭代一元Bernstein算子向一次同类型算子逼近程度的估计加以推广,证明在d元情形下类似的结果也成立。所采用的方法可以推广到许多其他情形,并不局限于Bernstein型或类似的方法。

英文摘要:

Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the $d$-variate case. The method employed can be carried over to many other cases and is not restricted to Bernstein-type or similar methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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