Paper considers the calculation of the values of Gibbs derivatives on finite Abelian groups. The calculation procedure is based upon the decision diagram representation of functions defined on finite Abelian groups. A...
The Project is partly supported by the Science ; Technology New Star Plan of Beijing ; Education Committee of Beijing
For a subdivision △ of a region in d-dimensional Euclidean space. we consider computation of dimension and of basis function in spline space S(△)consisting of all C(?)piecewise Polynomial func- tions over△of degree...
In this paper we consider polynomial splines S(x) with equidistant nodes which may grow a5 O (|x|~5). We present an integral representation of such splines with a distribution kernel. This repre- sentation is related ...
This paper considers to replace △_m(x)=(1-x^2)~2(1/2)/n +1/n^2 in the following result for simultaneous Lagrange interpolating approximation with (1-x^2)~2(1/2)/n: Let f∈C_(-1.1)~0 and r=[(q+2)/2],then |f^(k)(x)-P_^...
This paper serves two purposes. One is to modify Strichartz's results with respect to the asymptotic averages of the Fourier transform of μ on , self-similar measure defined by Hutchinson. Another purpose is to consi...
A new maximal function is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic H^p spaces.
As everyone knows,the classical Jackson theorem in approximation theory was generalized in Lp spaces by R.A.Devore.In this paper,we proved the Jackson theorem in B,spaces which introduced by Ding Xia Xi,
The author is partially supported by the National Natural Science of China;the Zhejiang Provincal Science Foundation
In this note,we define a new kind of spaces TF of Triebel-Lizorkin type and characterize it via sequence space lp Also a Fourier multiplier theorem is established in this new spaces TFpaq
This work is pastially supported by NNSFC;the Foundation of Zhongshan University Advanced Reseasch Centre
The explicit form for the orthonormal periodic trigonometric spline wavelet is given. We also give the decomposition and reconstruction equations.Each of the two equations involves onlytwo terms. We prove that the fa...
In this paper orthogonal matrix polynomials with respect to a right matrix moment functional an introduced. Basic results, important examples and applications to the approximation of matrix integrals are studied. Err...