On the stability of some classical operators from approximation theory

On the stability of some classical operators from approximation theory
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DOI:
10.1016/j.exmath.2013.01.007
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发表时间:
2013
影响因子:
0.7
通讯作者:
D. Popa;I. Raşa
D. Popa;I. Raşa
中科院分区:
数学4区
文献类型:
--
作者:
D. Popa;I. Raşa

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从逼近理论出发,得到了一些经典算子的Hyers-Ulam稳定性的一些结果。对于Bernstein算子,我们利用一个关于多项式的Lorentz表示的系数界的结果来确定Hyers-Ulam常数。
We obtain some results on Hyers–Ulam stability for some classical operators from approximation theory. For Bernstein operators we determine the Hyers–Ulam constant using a result concerning coefficient bounds of Lorentz representation for a polynomial.