We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi...
In this paper we find the second order linear differential equation satisfied by orthogonal polynomials with respect to the inner product p, q = ∞ 0 p(x)q(x)xα e−x dx + Mp...
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
Abstract. The notion of complex B-spline is extended to a multivariate setting by means of ridge functions employing the known geometric relationship between ordinary B-splines and...
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
The classical Heun equation has the form Q(z) d2 dz2 + P (z) d dz + V (z) ff S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) is a polynomial of degree at most 2 and ...
We consider H¨older smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges ...