On the growth and best polynomial approximation of entire functions in $${\mathbb {C}}^{m}(m\ge 2)$$ C m ( m ≥ 2 ) in some Banach spaces-Reference-Cited by-同舟云学术

On the growth and best polynomial approximation of entire functions in $${\mathbb {C}}^{m}(m\ge 2)$$ C m ( m ≥ 2 ) in some Banach spaces

Published:2017-04-25 Issue:1 Volume:25 Page:121-133
ISSN:0971-3611
Container-title:The Journal of Analysis
language:en
Short-container-title:J Anal

Author:

Kumar Devendra

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://link.springer.com/article/10.1007/s41478-017-0033-x/fulltext.html

Reference17 articles.

1. Duren, P.L., B.W. Romberg, and A.L. Shields. 1969. Linear Functionals in $$H_p$$ H p spaces with $$0

2. Dveirin, M.Z. 2016. On the relationship between rate of polynomial approximation of an entire function and its order and type. Ukrainian Mathematical Journal 67 (10): 1498–1514.

3. Gol’dberg, A.A. 1959. Elementary remarks on the formulas for the determination of the order and type of entire functions of many complex variables. Doklady Akademii Nauk Arm SSR 29 (4): 145–151.

4. Gvaradze, M.I. 1977. On one class of spaces of analytic functions. Matematicheskie Zametki 21 (2): 141–150.

5. Gvaradze, M.I. 1980. Factors of one class of analytic function defined on a polydisk. Trudy Tbiliss Mathematical Institute Razmadze. 66: 15–21.

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2. Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth;Journal of Applied Analysis;2017-01-01