Some results regarding the Bernstein polynomials.
Some spaces of entire and nuclearly entire functions on a Banach space. I.
Some spaces of entire and nuclearly entire functions on a Banach space. II.
Some theorems of Korovkin type
We take another approach to the well known theorem of Korovkin, in the following situation: X, Y are compact Hausdorff spaces, M is a unital subspace of the Banach space C(X) (respectively, ) of all complex-valued (resp., real-valued) continuous functions on X, S ⊂ M a complex (resp., real) function space on X, ϕₙ a sequence of unital linear contractions from M into C(Y) (resp., ), and a linear isometry from M into C(Y) (resp., ). We show, under the assumption that , where is the Choquet...
Some tidbits on ideal projectors, commuting matrices and their applications.
Some type of rotational scheme.
Some uses of subharmonicity in functional analysis
Spaces of Lipschitz type, embeddings and entropy numbers [Book]
Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type
MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show some applications to problems...
Spherical quadrature formulas with equally spaced nodes on latitudinal circles.
Spherical splines
Spline Approximant in Hilbertian Subspaces of ...(...).
Spline approximation and Besov spaces on compact manifolds
Spline approximation and generalized Turán quadratures.
Spline approximation in , p≤ 1
Spline Approximations to Spherically Symmetric Distributions.
Spline bases in classical function spaces on compact manifolds, Part II
Spline bases in classical function spaces on compact manifolds, Part I
Spline coalescence hidden variable fractal interpolation functions.
Spline functions and total positivity.
In this survey we show the close connection between the theory of Spline Functions and that of Total Positivity. In the last section we mention some recent results on totally positive bases which are optimal for shape preserving properties in Computer Aided Geometric Design.