Support Points of Harmonic Typically-Real Functions

ＳｕｐｐｏｒｔＰｏｉｎｔｓｏｆＨａｒｍｏｎｉｃＴｙｐｉｃａｌｌｙ－ＲｅａｌＦｕｎｃｔｉｏｎｓ宫贵福ＳｕｐｐｏｒｔＰｏｉｎｔｓｏｆＨａｒｍｏｎｉｃＴｙｐｉｃａｌｌｙ－ＲｅａｌＦｕｎｃｔｉｏｎｓ￥ＧｏｎｇＧｕｉｆｕ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａ...     

Approximately Cohen-Macaulay Rings and Samuel Functions

Ａｐｐｒｏｘｉｍａｔｅｌｙ　Ｃｏｈｅｎ－Ｍａｃａｕｌａｙ　Ｒｉｎｇｓ　ａｎｄ　Ｓａｍｕｅｌ　ＦｕｎｃｔｉｏｎｓＷａｎｇＦｕｚｈｅｎｇ（王福正）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＰｅｉｋｉｎｇＵｎｉｖｅｒｓｉｔｙＢｅｉｊｉｎｇ，１００８...     

On Unique Range Sets for Meromorphic Functions

ＯｎＵｎｉｑｕｅＲａｎｇｅＳｅｔｓｆｏｒＭｅｒｏｍｏｒｐｈｉｃＦｕｎｃｔｉｏｎｓＦａｎｇＭｉｎｇｌｉａｎｇ（方明亮）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｎｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ，Ｊｉａｎｇｓｕ，２...     

Properties of Subgenerators of Integrated C-cosine Operator Functions

ＰｒｏｐｅｒｔｉｅｓｏｆＳｕｂｇｅｎｅｒａｔｏｒｓｏｆＩｎｔｅｇｒａｔｅｄＣ┐ｃｏｓｉｎｅＯｐｅｒａｔｏｒＦｕｎｃｔｉｏｎｓＺｈａｏＲｏｎｇｘｉａ＊）（赵荣侠）ａｎｄＨｕａｎｇＺｈｅｎｙｏｕ（黄振友）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，...     

Hypersurface with Constant Main Curvature Symmetric Functions

ＨｙｐｅｒｓｕｒｆａｃｅｗｉｔｈＣｏｎｓｔａｎｔＭａｉｎＣｕｒｖａｔｕｒｅＳｙｍｍｅｔｒｉｃＦｕｎｃｔｉｏｎｓ￥ＷｕＢａｏｑｉａｎｇ；ＳｏｎｇＨｏｎｇｚａｏ（ＸｕｚｈｏｕＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ，２２１００９）（ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，...     

Integral Representations of Differentiable Functions on an Analytic Subvariety

ＩｎｔｅｇｒａｌＲｅｐｒｅｓｅｎｔａｔｉｏｎｓｏｆＤｉｆｆｅｒｅｎｔｉａｂｌｅＦｕｎｃｔｉｏｎｓｏｎａｎＡｎａｌｙｔｉｃＳｕｂｖａｒｉｅｔｙＣｈｅｎＳｈｕｊｉｎ（陈叔瑾）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｍｅｎＵｎｉｖｅｒｓｉｔ...     

On Certain Inequalities for Some Analytic Functions and Differential Subordinations

Ｏｎ　Ｃｅｒｔａｉｎ　Ｉｎｅｑｕａｌｉｔｉｅｓ　ｆｏｒ　Ｓｏｍｅ　Ａｎａｌｙｔｉｃ　Ｆｕｎｃｔｉｏｎｓ　ａｎｄ　Ｄｉｆｆｅｒｅｎｔｉａｌ　ＳｕｂｏｒｄｉｎａｔｉｏｎｓＹａｎｇＤｉｎｇｇｏｎｇ（杨定恭）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，...     

C-cosine Operator Functions and the Second Order Abstract Cauchy Problem

Ｃ－ｃｏｓｉｎｅＯｐｅｒａｔｏｒＦｕｎｃｔｉｏｎｓａｎｄｔｈｅＳｅｃｏｎｄＯｒｄｅｒ　ＡｂｓｔｒａｃｔＣａｕｃｈｙＰｒｏｂｌｅｍＷａｎｇＨａｉｙａｎ（王海燕）（ＤｅｐａｒｔｍｅｔｎｏｆＭａｔｈｅｍａｔｉｃｓａｎｄＭｅｃｈａｎｉｃｓ，Ｓｏｕｔｈｅａｓｔ...     

On the Growth of Composite Entire Functions

ＯｎｔｈｅＧｒｏｗｔｈｏｆＣｏｍｐｏｓｉｔｅＥｎｔｉｒｅＦｕｎｃｔｉｏｎｓＱｉａｏＪｉａｎｙｏｎｇ（乔建永）（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ，２００４３３）Ａｂｓｔｒａｃｔ：Ｌｅｔｆａｎ...     

Inner Functions and Corona Problem

ＩｎｎｅｒＦｕｎｃｔｉｏｎｓａｎｄＣｏｒｏｎａＰｒｏｂｌｅｍＧｕｏＫｕｎｙｕ（郭坤宇）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｉｃｈｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ，６１００６４）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ｗｅｆ...     

用指数型整函数的最佳限制逼近

我们研究了由仅有实零点的代数多项式导出的微分算子确定的广义Sobolev类利用指数型整函数作为逼近工具的最佳限制逼近问题.利用Fourier变换和周期化等方法,得到在L_2(R)范数下的广义Sobolev光滑函数类的相对平均宽度和最佳限制逼近的精确常数,以及当0是这个代数多项式的一个至多2重的零点时,得到最佳限制逼近在L_1(R)范数和一致范数下的广义Sobolev类的精确到阶的结果.     

ρ-Invex Functions and ( F , ρ)Convex Functions: Properties and Equivalences

-invexity, -pseudo invexity and -quasi invexity (and their extentions to nondifferentiable Lipschitz functions) have been used to weaken the assumption of convexity in solving duality problems or to state sufficient optimality conditions in nonlinear programming. An attempt to generalize further these concepts has been done with the introduction of ( F , )convexity for differentiable and nondifferentiable Lipschitz functions. Theorems and results regarding both the duality problems and the sufficience of Kuhn-Tucker conditions have been reproduced for these new classes of functions. The aim of this article is to show that for both differentiable and nondifferentiable Lipschitz functions ( F , )convexity is not a generalization of -invexity, but these families of functions coincide.     

Some Theorems on Meromorphic Univalent Functions

In this paper, we will show some deviation theorems and theorems of rotational angles in classes of Σ(p) and Σ(p,q) of meromorphic univalent functions.     

Approximation and Uniqueness for -Harmonic Functions

 In this paper, we consider the class of functions defined on the unit ball which are harmonic with respect to a certain class of degenerate elliptic operators. We establish some approximation and uniqueness theorems for these functions. Our work generalizes some recent results obtained by J. Bruna and K. T. Hahn in the particular case of the Laplace-Beltrami operator of the Bergman metric. (Received 17 September 1998)     

The Growth of Composite Meromorphic Functions

Let f be a transcendental meromorphic function of order $ \rho _f $ , g be a transcendental entire function of lower order $\lambda _g (\lambda _g \lt + \infty ) $ with $ \sum _{a\not = \infty }\delta (a,g)= 1 $ , then $$\overline {\mathop {{\rm lim}}\limits_{r \to \infty } } \log {{\left( {T\left( {r,f\left( g \right)} \right)} \right)} \mathord{\left/{\vphantom {{\left( {T\left( {r,f\left( g \right)} \right)} \right)} {T\left( {r,g} \right)}}} \right. \kern-\nulldelimiterspace} {T\left( {r,g} \right)}} = \pi \rho f.$$     

Approximation of Unbounded Functions by Linear Positive Operators

A unified class of linear positive operators has been defined. Using these operators some approximation estimates have been obtained for unbounded functions. For particular linear positive operators these results sharpen and improve the earlier estimates due to Fuhua Cheng (J. Approx. Theory, 1984) and Xiehua Sun (J. Approx. Theory, 1988).     

SHAPE-PRESERVING APPROXIMATION BY SPLINE FUNCTIONS

The author establishes the Jackson-type estimates for monotone and convex approxi-mation by spline functions with non-equally spaced knots.These estimaes involve highorder modulus of the approximated function and its derivatives.Hence some Bernstein-type theorems can be got conveniently.     

关于Jacobi函数的渐近性态研究

采取改进取点x(t)的做法,提高了Jacobi函数的一项近似精确度.我们分别取x(t)的两项和三项,做出了Jacobi函数φ(α,β)μ(t) (α>-1 )当μ→+∞渐近近似,并给出了相应的误差限.随着x(t)取的项数增加,即点x(t)取的更“精确”,Jacobi函数φ(α,β)μ(t)渐近近似的精确度也随之提高.     

半平面中调和函数的积分表示和估计

对于半平面中的调和函数,在本文中证明了如果它的正部满足某些限制增长条件,则它可以用半平面边界上的积分表示出来并且它的绝对值也满足类似的增长条件,这一结果改进了在半平面中调和函数的某些经典结果.