On the Approximation by the Iterates of Stancu Operators and Its Modified Operators

This paper discusses the approximation of the class of function W2 and W2Lp(1<p<∞) by the iterates of Stancu operators and its modified operators and obtains some theorems which extend the results of paper [3].

Convergence of the q Analogue of Szász-Beta-Stancu Operators

In the present paper, we propose the q analogue of Szasz-Beta-Stancu operators. By estimate the moments, we establish direct results in terms of the modulus of smoothness. Investigate the rate of point-wise convergence and weighted approximation properties of the q operators. Voronovskaja type theorem is also obtained. Our results generalize and supplement some convergence results of the q-Szasz-Beta operators, thus they improve the existing results.

Inverse Theorem of Approximation in L_p for the Stancu Integral-type Operators on a Simplex

In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp（1≤ p 〈＋∞）has been obtained.

Passively Q-Switched Yb-Doped Fiber Laser Operating at 1.06 μm with Two-Dimensional Silver Nanoplate as Saturable Absorber

A two-dimensional silver nanoplate is prepared with the seed-mediated growth method and is used for achieving pulse fiber laser operation. By controlling the dimension parameters of the silver nanoplate, the surface plasmon resonance absorption peak of the material is successfully adjusted to 1068 nm. Based on the silver nanoplate as a saturable absorber, a passively Q-switched Yb-doped fiber laser operating at 1062 nm is demonstrated. The maximum average output power of 3.49mW is obtained with a minimum pulse width of 1.84#s at a pulse repetition rate of 65.TkHz, and the corresponding pulse energy and peak power are 53.1 nJ and 28.8mW, respectively.

Eigenfunction expansion method of upper triangular operator matrixand application to two-dimensional elasticity problems based onstress formulation

This paper studies the eigenfunction expansion method to solve the two dimensional （2D） elasticity problems based on the stress formulation. The fundamental system of partial differential equations of the 2D problems is rewritten as an upper tri angular differential system based on the known results, and then the associated upper triangular operator matrix matrix is obtained. By further research, the two simpler com plete orthogonal systems of eigenfunctions in some space are obtained, which belong to the two block operators arising in the operator matrix. Then, a more simple and conve nient general solution to the 2D problem is given by the eigenfunction expansion method. Furthermore, the boundary conditions for the 2D problem, which can be solved by this method, are indicated. Finally, the validity of the obtained results is verified by a specific example.

Simultaneous Approximation for Szsz-Mirakian-Stancu-Durrmeyer Operators

The aim of this work is to generalize Szasz-Mirakian operator in the sense of Stancu-Durrmeyer operators. We obtain approximation properties of these operators. Here we study asymptotic as well as rate of convergence results in simultaneous approximation for these modified operators.

ON SHAPE-PRESERVING PROPERTIES AND SIMULTANEOUS APPROXIMATION OF STANCU OPERATOR

In the present paper, the shape-preserving properties and the monotonicity for convex functions of Stancu operator are given. Moreover, the simultaneous approximation problems of this operator are also considered.

ON TWO DIMENSIONAL STANCU- MUHLBACH OPERATOR

In this paper, the twodirnensional Stancu - Muhlbach operator and Beta operator are introduced , and their approximation properties are discussed.

APPROXIMATION AND SHAPE-PRESERVING PROPERTIES OF Q-STANCU OPERATOR

We introduce the definition of q-Stancu operator and investigate its approximation and shape-preserving property. With the help of the sign changes of f（x） and Ln = f（f, q;x） the shape-preserving property of q-Stancu operator is obtained.

多元Stancu算子的Boolean和迭代

定义单纯形上高维Stancu算子的Boolean和迭代算子并且研究它逼近连续函数的正定理、逆定理与饱和定理,得到了较高的逼近阶.

L^p空间Kantorovich型Bernstein-Stancu算子的逼近

研究了一种由ICZ引进的Kantorovich型Bernstein-Stancu算子在Lp空间的逼近性质,建立了其逼近的正、逆定理.所得结论推广了经典Kantorovich型Bernstein算子的相关结论.

二元Stancu算子和Stancu-Kontorovic算子的Lipschitz常数保持性质

本文证明二元Stancu算子和其Kontorovic变形具有保持Lipschitz常数的性质。

一族Stancu型算子的逼近

构造了一类Stancu型一元和二元算子,并讨论了它们在C空间的逼近性质,给出逼近阶的估计.

Stancu算子与连续模

给出Stancu算子Sαn(f,x)的连续模保持性质 ,证明了如果f∈Hω,则Sαn(f,x)∈H2ω.

Stancu－Kantorovic算子迭代的Lp逼近

讨论了Ｓｔａｎｃｕ－Ｋａｎｔｏｒｏｖｉｃ算子的迭代在Ｌｐ（１＜ｐ＜∞）空间的逼近。

Stancu-kantorovic算子在B_a空间的逼近

研究了Stancu kantorovic算子在Ba空间的逼近估计。

单纯形上的二元Stancu算子与连续模

证明二元Stancu算子一个新的性质 .

Stancu-Kantorovich算子在Orlicz空间逼近的正定理

介绍了Bernstein-kantorovich算子的推广算子Stancu-kantorovich算子.以带权函数的连续模为工具,讨论了Stancu-kantorovich算子在Orlicz空间逼近的正定理.

Stancu—Kantorovich算子在LM的饱和性

讨论Ｓｔａｎｃｕ－Ｋａｎｔｏｒｏｖｉｃｈ算子在Ｏｒｌｉｃｚ空间Ｌ＊Ｍ［０，１］中的饱和性，对于Ｍ（μ）∈Δ２，ｆ（ｘ）∈Ｌ＊Ｍ［０，１］证明了：Ｋｎ，ｓ（ｆ）－ｆＭ＝ｏ（１ｎ）ｆ（ｘ）＝ｃｏｎｓｔ；Ｋｎ，ｓ（ｆ）－ｆＭ＝Ｏ（１ｎ）ｆ（ｘ）∈ＳＭ，其中ＳＭ＝｛ｆ（ｘ）：存在ｈ（ｔ）∈Ｌ＊Ｍ［０，１］使ｆ（ｘ）＝ｆ（１２）＋∫ｘ１／２１ｔ（１－ｔ）∫ｔｋｈ（ｕ）ｄｕｄｔ，这里ｋ为任意实数｝．

一类Stancu型算子的逼近性质

通过Bernstein多项式的基函数,引进一类Stancu型算子序列,并借助于连续模研究该算子序列的一些逼近性质,得到算子列的一个Korovkin型收敛定理和收敛速度的一些估计。