The Multivariate Müntz-Szasz Problem in Weighted Banach Space on R n

Author

Yang, Xiangdong

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-19

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space.

Denote by { λ k = ( λ k 1 , λ k 2 , .

.

.

, λ k n ) } k = 1 ∞ a sequence of real numbers in R + n .

The completeness of monomials { t λ k } in C α is investigated, where C α is the weighted Banach spaces which consist of complex continuous functions f defined on R n with f ( t ) exp ( - α ( t ) ) vanishing at infinity in the uniform norm.

American Psychological Association (APA)

Yang, Xiangdong. 2014. The Multivariate Müntz-Szasz Problem in Weighted Banach Space on R n. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013735

Modern Language Association (MLA)

Yang, Xiangdong. The Multivariate Müntz-Szasz Problem in Weighted Banach Space on R n. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013735

American Medical Association (AMA)

Yang, Xiangdong. The Multivariate Müntz-Szasz Problem in Weighted Banach Space on R n. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013735

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013735