J. M. Aldaz

activity

20022022

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

52 citations · 224 across the 33 of their papers we have counts for

collaborators

Showing 2018 · math.CAShow all

4 papers · 2 filters

math.CA2018

Variations on the Boman covering lemma

J. M. Aldaz

We explore some variants of the Boman covering lemma, and their relationship to the boundedness properties of the maximal operator. Let $1 < p < \infty$ and let $q$ be its conjugat…

math.CA2018

Kissing numbers and the centered maximal operator

J. M. Aldaz

We prove that in a metric measure space $X$ , if for some $p \in (1, \infty)$ there are uniform bounds (independent of the measure) for the weak type $(p, p)$ of the centered maximal…

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…