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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A 1.344-approximation algorithm for the vertex cover problem
顶点覆盖问题 1.344 近似算法
2023/12/11
We present an algorithm for the vertex cover problem by combining the LP relaxation and the random edge-reductions. The algorithm has the expected approximation ratio of 1.344.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On forward/inverse spectral problems, approximation problems and multiple integral formulae for non-smooth solitons
非光滑孤子 正/逆谱问题 近似问题 多重积分公式
2023/4/28
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strong approximation and integral quadratic forms over affine curves
仿射曲线 强近似 积分二次形式
2023/5/9
Let $k$ be a field of characteristic 0 and let $C$ be the a smooth affine curve over $k$. We will first discuss applications of strong approximation to the theory of integral quadratic forms over $C$....
On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Linear positive operators Linear combination Integral modulus of smoothness Steklov means
2010/3/1
In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of ...
R. Ganti and G. S. Srivastava, Approximation of Entire Functions over Jordan Domains
Entire function generalized order generalized type Faber polynomial approximation approximation error
2009/6/16
In the present paper, we study the polynomial approximation of entire functions over
Jordan domains by using Faber polynomials. The coefficient characterizations of generalized
order and generalized...
BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH RIEMANN-LIOUVILLE OPERATOR
Weierstrass transform best approximation Riemann-Liouville operator reproducing kernel extremal function
2008/11/26
Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass
transform associated with Riemann-Liouville operator. Also, estimates of extremal
functions are checked.