Canonical products of infinite order.
Central limit theorem for square error of multivariate nonparametric box spline density estimators
We prove the central limit theorem for the integrated square error of multivariate box-spline density estimators.
Construction of Stancu-Hurwitz operator for two variables.
Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.
Convergence of approximation processes on convex cones.
Convergence of iterates of linear operators and the Kelisky-Rivlin type theorems
Let X be a Banach space and T ∈ L(X), the space of all bounded linear operators on X. We give a list of necessary and sufficient conditions for the uniform stability of T, that is, for the convergence of the sequence of iterates of T in the uniform topology of L(X). In particular, T is uniformly stable iff for some p ∈ ℕ, the restriction of the pth iterate of T to the range of I-T is a Banach contraction. Our proof is elementary: It uses simple facts from linear algebra, and the Banach Contraction...
Convexity and variation diminishing property for Bernstein polynomials in higher dimensions