Results 11 to 20 of about 27 (26)
Tight wavelet frames in Lebesgue and Sobolev spaces
Journal of Function Spaces, Volume 2, Issue 3, Page 227-252, 2004., 2004 We study tight wavelet frame systems in Lp(ℝd) and prove that such systems (under mild hypotheses) give atomic decompositions of Lp(ℝd) for 1≺p≺∞. We also characterize Lp(ℝd) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best m‐term approximation with the systems in Lp(ℝd) and prove that such ...
L. Borup +3 more
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Discrete differential operators in multidimensional Haar wavelet spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2347-2355, 2004., 2004 We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to ...
Carlo Cattani, Luis M. Sánchez Ruiz
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Reconstruction in time‐warped weighted shift‐invariant spaces with application to spline subspaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4131-4137, 2003., 2003 We discuss the reproducing kernel structure in shift‐invariant spaces and the weighted shift‐invariant spaces, and obtain the reconstruction formula in time‐warped weighted shift‐invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time‐warped spline subspace.
Jun Xian, Yongjin Li
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A note on quasi‐monotone operators
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 1, Page 203-204, 1987., 1987 The treatment of nonlinear problems using a general framework is often a delicate issue. This is illustrated by the fact that the quasi‐monotone operators of M. A. Noor are constant operators.
S. S. Chow
wiley +1 more source
Error estimates for the finite element solutions of variational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 565-570, 1981., 1980 For piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u − uh in the W1,2‐norm is of order h.
M. Aslam Noor
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Convexity preserving interpolation by splines of arbitrary degree [PDF]
Computer Science Journal of Moldova, 2010 In the present paper an algorithm of $C^{2}$ interpolation of discrete set of data is given using splines of arbitrary degree, which preserves the convexity of given set of data.
Igor Verlan
doaj
About one algorithm of C2 interpolation using quartic splines [PDF]
Computer Science Journal of Moldova, 2009 The problem of C2 interpolation of a discrete set of data on the interval [a,b] representing the function f using quartic splines is investigated.
Igor Verlan
doaj
About a family of C2 splines with one free generating function [PDF]
Computer Science Journal of Moldova, 2005 The problem of interpolation of discrete set of data on the interval [a, b] representing the function f is investigated. A family of C*C splines with one free generating function is introduced in order to solve this problem.
Igor Verlan
doaj
Projection solutions of Frobenius‐Perron operator equations
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 465-484, 1993.
Jiu Ding, Tien Tien Li
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Steklov Type Operators and Functional Equations
Annales Mathematicae SilesianaeWe consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela +2 more
doaj +1 more source