搜索结果: 1-13 共查到“应用数学 Interpolation”相关记录13条 . 查询时间(0.031 秒)
Uniform approximation of a class of multivariable trigonometric interpolation polynomials in Euclidean space
triangle summation operator uniform convergence
2010/9/25
To improve the uniform convergence of the classical Lagrange operators of several variables, we construct a new operator with a class of summation factors. It is proved that the new operator converges...
Meromorphic Extendibility and Rigidity of Interpolation
Meromorphic Extendibility Rigidity of Interpolation
2010/11/24
Let T be the unit circle, f be an \alpha-Holder continuous function on T, \alpha>1/2, and A be the algebra of continuous function in the closed unit disk \bar D that are holomorphic in D. Then f exte...
Derivative approximation by interpolation polynomials of Bernstein type of the third kind
interpolation polynomial of Bernstein type derivative approximation
2010/9/14
In this paper, we mainly study the problems of derivative approximation of interpolation polynomials. Based on the zero nodes of the Chebyshev polynomials of the second kind, we construct an interpola...
Implicit curvilinear interpolation
Interpolation implicit operational equations curves mirror points
2010/9/14
The shifting operator is applied to generate implicit interpolating equations for curves defined by three and four equidistant data. The equations trade the abscissa of the interpolated point for anot...
On a class of triangle interpolation operators of revised Bernstein type
triangle interpolation operator of Bernstein type two revised nodes
2010/9/14
In this paper, to improve the uniform convergence of the known Lagrange interpolation polynomials, a new triangle interpolation operator of Bernstein type is constructed by using the method of two rev...
On improvement of uniform convergence of Lagrange interpolation polynomials
Lagrange interpolation polynomial uniform convergence
2010/9/14
Due to the Lagrange interpolation polynomials do not converge uniformly to arbitrary continuous functions, in this paper, a new interpolation polynomial is constructed by using the weighted average me...
Application Leindler Spaces to the Real Interpolation Method
Leindler sequence space of Fourier - Haar coefficients Lorentz space Haar functions real method spaces
2008/7/3
The paper is devoted to the important topic of Fourier analysis in one variable (AMS subject classification 42A16). In this paper we introduce Leindler space of Fourier - Haar coefficients, so we gene...
Interpolation Functions of Several Matrix Variables
Interpolation Tensor product Hilbert space Korányi's theorem
2008/6/30
An interpolation theorem of Donoghue is extended to interpolation of tensor products. The result is related to Korányi's work on monotone matrix functions of several variables.
Some Convergence Results on Sinc Interpolation
Interpolation Rate of Convergence Sinc Approximation
2008/6/26
Some Convergence Results on Sinc Interpolation.
Some remarks on minimal spline interpolation
Hermite interpolation spline functions B-splines
2010/9/15
Interpolation of 2n+k data by spline spaces of order k with n knots is studied. Some conditions on existence of interpolating splines are given. Numerical methods for constructing a solution are sugge...
In the present paper the approximate fuctions for certain multivariate periodic functions with bounded mired derivatives are constructed by making use of their values at the knots of number-theoretica...
Boundary Nevanlinna-pick Interpolation for Meromorphic Functions
Nevanlinna-pick interpolation generalized Pick matrix
2007/12/11
Versions of the multiple Nevanlinna-Pick interpolation problem in the class N-circumfiex involving both interior and boundary data are investigated. This leads to solvability criteria for the indicate...
Mean Convergence of Lagrnage Type Interpolation on an Arbitrary System of Nodes
Lagrange type interpolation convergence rate of convergence
2007/12/11
Sufficient conditions of convergence and rate of convergence for Lagrange type interpolation in the weighted Lp norm on an arbitrary system of nodes are given.