ON THE INTEGRAL TYPE MEYER-K(?)NIG AND ZELLER OPERATORS

1,In 1960,W.Meyer-Knig and K.Zeller in[1]first introduceas follows positive linear operators:For f∈ C[0,1],let     

修正Durrmeyer－Bernstein算子的L_p逼近

本文建立修正了Ｄｕｒｒｍｅｙｅｒ－Ｂｅｒｎｓｔｃｉｎ算子的逼近等价定理。     

Optical Recording Properties of Metal-Azo Dye as Recording Medium with Super-Resolution Near-Field Structure

A novel metallized azo dye has been synthesized. The absorption spectra of the thin film and thermal characteristic are measured. Static optical recording properties with and without the Bi mask layer super-resolution near-field structure （Super-RENS） of the metal-azo dye are investigated. The results show that the metal-azo dye film has a broad absorbance band in the region of 450-650 nm and the maximum absorbance wavelength is located at 603 nm. It is also found that the new metallized azo dye occupies excellent thermal stability, initiatory decomposition temperature is at 270℃ and the mass loss is about 48% in a narrow temperature region （15℃）. The complex refractive index N （N = n ＋ iκ） is measured. High refractive index （n = 2.45） and low extinction coefficient （κ = 0.2） at the recording wavelength 65Ohm are attained. Static optical recording tests with and without Super-RENS are carried out using a 65Ohm semiconductor diode laser with recording power of 7mW and laser pulse duration of 200ns. The AFM images show that the diameter of recording mark on the dye film with the Bi mask layer is reduced about 42%, compared to that of recorded mark on the dye film without Super-RENS. It is indicated that Bi can well performed as a mask layer of the dye recording layer and the metallized azo dye can be a promising candidate for recording media with the super-resolution near-field structure.     

THE PROBABILISTIC REPRESENTATION FORMULAE FOR COSINE OPERATOR FUNCTIONS

In this paper we obtained general representation formulae for strongly continuous cosine operatorfunctions via probabilistic approach,which include Webb's[1]and Shaw's[2]formulae and some newone as special cases.We also give the quantitative estimations for the general formulae.     

一个点态“o”饱和定理

1. Suppose dμ_p(p∈Ω) is a non-negative Borel measure on [-π,π] with 1/π integral from -π to π(dμ_p(t))=1For k∈N, denote a_(kp)=1/π integral from -π to π(coskx) dμ_p(x),     

Opial不等式二十年

1960年Z.Opial在[1]中建立了如下的一个不等式,这个不等式立即被随后发表的一些文献称之为Opial不等式: Opial不等式 设f(x)∈C~1[0,h]且f(0)=f(h)=0,又设f(x)>0(0相似文献   

修正Durrmeyer－Bernstein算子的Lp逼近

本文建立修正了Ｄｕｒｒｍｅｙｅｒ－Ｂｅｒｎｓｔｃｉｎ算子的L_p(1≤p≤+∞)逼近等价定理。     

二元函数空间上线性算子的逼近定理

本文利用Gonska方法,研究二元函数空间上线性算子的逼近性质,建立Korovkin型量化定理及其逆定理.