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21.
We examine the smoothness properties of the principal curvatures of subdivision surfaces near irregular points. In particular we give an estimate of their L
p
class based on the eigenstructure of the subdivision matrix. As a result we can show that the popular Loop and Catmull–Clark schemes (among many others) have square integrable principal curvatures enabling their use as shape functions in FEM treatments of the thin shell equations. 相似文献
22.
Clarkson不等式与Banach空间几何 总被引:2,自引:2,他引:0
我们证明了Banach空间X是Clarkson p型(q余型)当且仅当X是一个特殊的p一致光滑空间(q-一致凸空间(),我们还找到刻划型(余型)的一系列鞅不等式,同时,我们得到了均方函数sharp不等式。 相似文献
23.
Sorin G> Gal 《Journal of Computational Analysis and Applications》2000,2(3):265-276
Starting from the equivalence between the Ditzian–Totik modulus
and
, where
, in this article large classes of functions
are introduced for which the modulus
can be easily calculated. As a consequence, very good estimates for the bestapproximation are obtained. The attempts to estimate or calculate themodulus
can be a very intricateproblem. 相似文献
24.
25.
Winfried Sickel Frauke Sprengel 《Journal of Computational Analysis and Applications》1999,1(3):263-288
We investigate the order of convergence of periodic interpolation on sparse grids (blending interpolation) in the framework of tensor products of Nikol'skij–Besov spaces. To this end, we make use of the uniformity of the considered tensor norms and provide a unified approach to error estimates for the interpolation of univariate periodic functions from Nikol'skij–Besov spaces. 相似文献
26.
Eva M. Mazcuñán-Navarro 《Journal of Mathematical Analysis and Applications》2008,337(1):197-218
In this paper we establish lower bounds for the weakly convergent sequence coefficient WCS(X) of a Banach space X, in terms of some well known moduli and coefficients. By mean of these bounds we identify several properties, of geometrical nature, which imply normal structure. We show that these properties are strictly more general than other previously known sufficient conditions for normal structure. 相似文献
27.
Shunsheng Guo Cuixiang Li Qiulan Qi 《Journal of Mathematical Analysis and Applications》2008,337(2):994-1001
In this paper we give the strong converse inequality of type B for Meyer-König and Zeller operators. 相似文献
28.
Konstantin Runovski Hans-Jürgen Schmeisser 《Journal of Fourier Analysis and Applications》2008,14(1):16-38
Means and families of operators generated by Bochner-Riesz kernels are studied. Some sharp results on their convergence are
achieved. The equivalence of the approximation errors of these methods to smoothness quantities related to the Laplacian is
proved.
相似文献
29.
In this article we continue with the study of smooth Gauss–Weierstrass singular integral operators over the real line regarding their simultaneous global smoothness preservation property with respect to the Lp norm, 1≤p≤∞, by involving higher order moduli of smoothness. Also we study their simultaneous approximation to the unit operator with rates involving the modulus of continuity with respect to the uniform norm. The produced Jackson type inequalities are almost sharp containing elegant constants, and they reflect the high order of differentiability of the engaged function. 相似文献
30.
Feilong Cao 《Journal of Approximation Theory》2005,132(2):241-257
We characterize the directional derivatives of multidimensional Bernstein operators by a new measure of smoothness. This task is carried out by means of establishing the relation between the asymptotic behavior of the derivatives and the smoothness of the functions they approximate. The obtained results generalize the corresponding ones for univariate Bernstein operators. 相似文献