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一类指数型整函数插值算子的逼近性质   总被引:3,自引:0,他引:3  
设(Uσf)(x)=∑k∈Zf(Xk)Aσ(X-Xk),Xk=2kπσ,k∈Z,σ>0,f是R上的有界函数,而Aσ(y)=2σ∫σ0sinm(σ-X)hsinm(σ-X)h+sinmxhcosxydx,m为奇自然数,0<h<πσ,本文研究了此插值算子的收敛与饱和问题.  相似文献
2.
引入了一类BaBesov空间,由此刻画了Bernstein-Kantorovi(?)算子在Ba范数下的饱和类,在Orlicz空间及Lp空间中的相应结论作为Ba空间理论的应用而给出。  相似文献
3.
赵振宇  侯象乾 《数学研究》2005,38(3):260-264
利用K泛函的定义首次研究了在Besov空间中,一类三角插值多项式的逼近和饱和问题,确定了逼近的饱和类与饱和阶.  相似文献
4.
本文研究了在Besov空间中 ,(0 ,m1,… ,mq)整插值算子的逼近和饱和问题 ,确定了逼近的饱和类与饱和阶  相似文献
5.
本文给出了广义有理算子当1<s≤2时的饱和类.  相似文献
6.
In this paper by a spectrum of mappings we mean a morphism of spectra of spaces. However, using the notion of a mapping of mappings, we give the definition of a spectrum of mappings similar to that of a spectrum of spaces. In this case, the formulations of the given results are also similar to the formulations of the corresponding results concerning the spectra of spaces.For the spectra of mappings we define the notion of a τ-spectrum of mappings factorizing in a special sense and prove a version of the Spectral Theorem for such spectra. Furthermore, to a given indexed collection F of mapping we associate a τ-spectrum factorizing in the above special sense whose mappings are Containing Mappings for F constructed in Iliadis (2005) [4]. These associated τ-spectra and the corresponding version of the Spectral Theorem imply that for a given indexed collection F of mappings any so-called “natural” τ-spectrum for F factorizing in the special sense contains a cofinal and τ-closed subspectrum whose mappings are Containing Mapping for F. Thus, Containing Mappigs for F appear here without any concrete construction. The associated τ-spectra are used also in order to define and characterize the so-called second-type saturated classes of mappings (which are “saturated” by universal elements).  相似文献
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