搜索结果: 31-45 共查到“数学 Interpolation”相关记录54条 . 查询时间(0.12 秒)
An 4n-point Interpolation Formula for Certain Polynomials
4n-point Interpolation Formula Certain Polynomials
2010/12/6
By using some techniques of the divided difference operators, we establish an 4n-point interpolation formula. Certain polynomials, such as Jackson’s 8 7 terminating summation formula, are special case...
Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants
Caffarelli-Kohn-Nirenberg inequality Gagliardo-Nirenberg inequality loga-rithmic Hardy inequality logarithmic Sobolev inequality
2010/12/14
This contribution is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg (CKN) and weighted logarithmic Hardy (WL...
On the interpolation of discontinuous functions
Interpolation Discontinuous Functions Statistical Convergence Lerch
2010/12/7
Given a sequence of real numbers, we consider its subsequences con-verging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associ...
On a Weighted Interpolation of Functions with Circular Majorant
Interpolation Lagrange interpolation Weighted interpolation Circular majorant Projection norm Lebesgue constant Chebyshev polynomial
2010/1/22
Denote by the projection operator obtained by applying the Lagrange interpolation method, weighted by , at the zeros of the Chebyshev polynomial of the second kind of degree . The norm , where de...
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...
INTRODUCTION.Itisthepurposeofthispapertopresentsomeresults,ontheproblemofinterpolationandapproximationtoafunctiouf(z),analyticonaclosedlimitedpointsetEinthecomplexz-planewhosecomplementKisconnectedand...
Methods of approximation,which interpolate to given values on the boundary of a trian-gle,are presented.These methods have linear weights and are characterized on the basis ofminimizing pseudonorm.Som...
Newton's polynomial interpolation may be the favourite linear
interpolation in the sense that it is built up by means of the
divided differences which can be calculated recursively and
produce usef...