EXPONENTIAL POLYNOMIAL APPROXIMATION OF WEIGHTED BANACH SPACE ON ℝ<sup><i>n</i></sup>

Yang, Xiaoyan

doi:10.1017/s0017089512000377

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction and Notations1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The multivariable case may be different from a single variable case. That is why it needs to be treated separately (see [9]).…”

Section: Introduction and Notationsmentioning

confidence: 99%

The Multivariate Müntz-Szasz Problem in Weighted Banach Space onRn

Yang

2014

Abstract and Applied Analysis

Self Cite

View full text Add to dashboard Cite

The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by{λk=(λk1,λk2,...,λkn)}k=1∞a sequence of real numbers inR+n. The completeness of monomials{tλk}inCαis investigated, whereCαis the weighted Banach spaces which consist of complex continuous functionsfdefined onRnwithf(t)exp(-α(t))vanishing at infinity in the uniform norm.

show abstract

“…The multivariable case may be different from a single variable case. That is why it needs to be treated separately (see [9]).…”

Section: Introduction and Notationsmentioning

confidence: 99%