Biorthogonal multiresolution analyses and decompositions of Sobolev spaces.
Biquadratic spline smoothing mean values
Biquadratic splines interpolating mean values
Continuity conditions for a biquadratic spline interpolating given mean values in terms of proper parameters are given. Boundary conditions determining such a spline and the algorithm for computing local parameters for the given data are studied. The notion of the natural spline and its extremal property is mentioned.
Bivariate Hermite Interpolation and Applications to Algebaric Geometry.
Bivariate operators of Schurer-Stancu type.
Bivariate Spline Functions and the Approximation of Linear Functionals.
Bleimann, Butzer, and Hahn operators based on the -integers.
BMO and Lipschitz approximation by solutions of elliptic equations
We consider the problem of qualitative approximation by solutions of a constant coefficients homogeneous elliptic equation in the Lipschitz and BMO norms. Our method of proof is well-known: we find a sufficient condition for the approximation reducing matters to a weak spectral synthesis problem in an appropriate Lizorkin-Triebel space. A couple of examples, evolving from one due to Hedberg, show that our conditions are sharp.
Boolean algebra and multivariate interpolation
Bornes de l'erreur dans l'approximation polynomiale avec contraintes d'interpolation
Boundaries of a Convex Set and Interpolation Sets.
Boundaries of convex sets.
Bounds for entropy and divergence for distributions over a two-element set.
Box-spline histograms for multivariate density estimation
The uniform approach to calculation of MISE for histogram and density box-spline estimators gives us a possibility to obtain estimators of derivatives of densities and the asymptotic constant.
B-rational curves and reparametrization : the quadratic case
Breaking the curse of dimensionality [Book]
Brève communication. Interpolation par des fonctions de
Brève communication. Résultats sur les procédés de sommation et l’algorithme
Brushlet characterization of the Hardy space H1(R) and the space BMO.
A typical wavelet system constitutes an unconditional basis for various function spaces -Lebesgue, Besov, Triebel-Lizorkin, Hardy, BMO. One of the main reasons is the frequency localization of an element from such a basis. In this paper we study a wavelet-type system, called a brushlet system. In [3] it was noticed that brushlets constitute unconditional bases for classical function spaces such as the Triebel-Lizorkin and Besov spaces. In this paper we study brushlet expansions of functions in the...
Calculating a class of integrals encountered in theoretical chemistry