H. Render

activity

20052026

most citedShape preserving properties of generalized Bernstein operators on Extended Chebyshev spaces

52 citations · 130 across the 32 of their papers we have counts for

collaborators

Showing 2008Show all

5 papers · 1 filter

math.NA2008

On a new multivariate sampling paradigm and a polyspline Shannon function

Ognyan Kounchev, Hermann Render

In the monograph Kounchev, O. I., Multivariate Polysplines. Applications to Numerical and Wavelet Analysis, Academic Press, San Diego-London, 2001, and in the paper Kounchev O., Re…

math.CA2008★ 33 cited

Bernstein operators for exponential polynomials

J. M. Aldaz, O. Kounchev, H. Render

Let $L$ be a linear differential operator with constant coefficients of order $n$ and complex eigenvalues $λ_{0}, ..., λ_{n}$ . Assume that the set $U_{n}$ of all solutions of the equ…

math.CA2008★ 16 cited

Bernstein Operators for Extended Chebyshev Systems

J. M. Aldaz, O. Kounchev, H. Render

Let $U_{n} \subset C^{n} [a, b]$ be an extended Chebyshev space of dimension $n + 1$ . Suppose that $f_{0} \in U_{n}$ is strictly positive and has the property that $…

math.CA2008★ 52 cited

Shape preserving properties of generalized Bernstein operators on Extended Chebyshev spaces

J. M. Aldaz, O. Kounchev, H. Render

We study the existence and shape preserving properties of a generalized Bernstein operator $B_{n}$ fixing a strictly positive function $f_{0}$ , and a second function $f_{1}$ such t…

math.FA2008★ 1 cited

A moment problem for pseudo-positive definite functionals

Ognyan Kounchev, Hermann Render

A moment problem is presented for a class of signed measures which are termed pseudo-positive. Our main result says that for every pseudo-positive definite functional (subject to s…