On a Subclass of Approximable Functions on Closed Subsets
Let E be a closed non-Arakelian set and let A ( E ) be the class of all functions which are continuous on E and analytic in E °. The paper is devoted to the investigation of the functions belonging to A ( E ), which can be extended as functions of class A ( F ) for an Arakelian set F containing E .
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| Veröffentlicht in: | Computational methods and function theory 2011-01, Vol.11 (1), p.123-133 |
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| container_end_page | 133 |
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| container_issue | 1 |
| container_start_page | 123 |
| container_title | Computational methods and function theory |
| container_volume | 11 |
| creator | Danielyan, Arthur A. Harutyunyan, Gohar |
| description | Let
E
be a closed non-Arakelian set and let
A
(
E
) be the class of all functions which are continuous on
E
and analytic in
E
°. The paper is devoted to the investigation of the functions belonging to
A
(
E
), which can be extended as functions of class
A
(
F
) for an Arakelian set
F
containing
E
. |
| doi_str_mv | 10.1007/BF03321792 |
| format | Article |
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E
be a closed non-Arakelian set and let
A
(
E
) be the class of all functions which are continuous on
E
and analytic in
E
°. The paper is devoted to the investigation of the functions belonging to
A
(
E
), which can be extended as functions of class
A
(
F
) for an Arakelian set
F
containing
E
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E
be a closed non-Arakelian set and let
A
(
E
) be the class of all functions which are continuous on
E
and analytic in
E
°. The paper is devoted to the investigation of the functions belonging to
A
(
E
), which can be extended as functions of class
A
(
F
) for an Arakelian set
F
containing
E
.</description><subject>Analysis</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Functions of a Complex Variable</subject><subject>Mathematics</subject><issn>1617-9447</issn><issn>2195-3724</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNptz81KxDAUBeAgCtbRjU-QtVLNb9Msx-KoMDALdV1uMrcyQ01K0oK-vR1GcOPqLu7H4RxCrjm744yZ-4cVk1JwY8UJKQS3upRGqFNS8Iqb0iplzslFznvGtLJSFsRuAgX6OjnfQ840dnQ5DCl-7T7B9UhXU_DjLob5E2jTx4zbA8445kty1kGf8er3Lsj76vGteS7Xm6eXZrkuvRDVWILqFBr0aBxI7SSIrVMctRcMOqms4lDXwCojoebSYOU4Z1ojOl-hBy0X5OaY61PMOWHXDmlul75bztrD6PZv9IxvjzjPKHxgavdxSmHu95_-AYQLVpc</recordid><startdate>20110101</startdate><enddate>20110101</enddate><creator>Danielyan, Arthur A.</creator><creator>Harutyunyan, Gohar</creator><general>Springer Berlin Heidelberg</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20110101</creationdate><title>On a Subclass of Approximable Functions on Closed Subsets</title><author>Danielyan, Arthur A. ; Harutyunyan, Gohar</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c226t-a4f4e7ece7ba35b3a2db41e5c20af34941a88a0673a8137e6b11055eebc6eca53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Analysis</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Functions of a Complex Variable</topic><topic>Mathematics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Danielyan, Arthur A.</creatorcontrib><creatorcontrib>Harutyunyan, Gohar</creatorcontrib><collection>CrossRef</collection><jtitle>Computational methods and function theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Danielyan, Arthur A.</au><au>Harutyunyan, Gohar</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On a Subclass of Approximable Functions on Closed Subsets</atitle><jtitle>Computational methods and function theory</jtitle><stitle>Comput. Methods Funct. Theory</stitle><date>2011-01-01</date><risdate>2011</risdate><volume>11</volume><issue>1</issue><spage>123</spage><epage>133</epage><pages>123-133</pages><issn>1617-9447</issn><eissn>2195-3724</eissn><abstract>Let
E
be a closed non-Arakelian set and let
A
(
E
) be the class of all functions which are continuous on
E
and analytic in
E
°. The paper is devoted to the investigation of the functions belonging to
A
(
E
), which can be extended as functions of class
A
(
F
) for an Arakelian set
F
containing
E
.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/BF03321792</doi><tpages>11</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1617-9447 |
| ispartof | Computational methods and function theory, 2011-01, Vol.11 (1), p.123-133 |
| issn | 1617-9447 2195-3724 |
| language | eng |
| recordid | cdi_crossref_primary_10_1007_BF03321792 |
| source | SpringerLink Journals |
| subjects | Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Mathematics |
| title | On a Subclass of Approximable Functions on Closed Subsets |
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