H. Render

activity

20072022

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math.CA2018

Generalized Bernstein operators defined by increasing nodes

J. M. Aldaz, H. Render

We study certain generalizations of the classical Bernstein operators, defined via increasing sequences of nodes. Such operators are required to fix two functions, $f_{0}$ and $f_{1}$ ,…

math.CA2018

Generalized Bernstein operators on the classical polynomial spaces

J. M. Aldaz, H. Render

We study generalizations of the classical Bernstein operators on polynomial spaces, where instead of fixing $1$ and $x$ , we require that $1$ and a strictly increa…

math.CA2017

Harmonic functions which vanish on coaxial cylinders

Stephen J. Gardiner, Hermann Render

It was recently established that a function which is harmonic on an infinite cylinder and vanishes on the boundary necessarily extends to an entire harmonic function. This paper co…