On the rate of convergence of double series of exponents representing regular functions on products of convex polygons
Estimates exact in order are obtained in the uniform and integral metrics for the deviation of partial sums of double series of exponents that represent functions which are regular on products of convex polygons and either continuous on a product of closed polygons or belonging to the Smirnov class.
Saved in:
| Date: | 1994 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5645 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511872881524736 |
|---|---|
| author | Mel'nik, Yu. I. Мельник, Ю. І. |
| author_facet | Mel'nik, Yu. I. Мельник, Ю. І. |
| author_sort | Mel'nik, Yu. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:58Z |
| description | Estimates exact in order are obtained in the uniform and integral metrics for the deviation of partial sums of double series of exponents that represent functions which are regular on products of convex polygons and either continuous on a product of closed polygons or belonging to the Smirnov class. |
| first_indexed | 2026-03-24T03:19:48Z |
| format | Article |
| fulltext |
0154
0155
0156
0157
|
| id | umjimathkievua-article-5645 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:48Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3f/597ba19990338f3d2eb87b25bfad923f.pdf |
| spelling | umjimathkievua-article-56452020-03-19T09:14:58Z On the rate of convergence of double series of exponents representing regular functions on products of convex polygons О скорости сходимости двойных рядов экспонент, представляющих регулярные функции в произведениях выпуклых многоугольников Mel'nik, Yu. I. Мельник, Ю. І. Estimates exact in order are obtained in the uniform and integral metrics for the deviation of partial sums of double series of exponents that represent functions which are regular on products of convex polygons and either continuous on a product of closed polygons or belonging to the Smirnov class. Exact in order estimates are obtained in the uniform and integral metrics for the deviation of partial sums of a double series of exponents that represents a function regular in the product of convex polygons; this function is either continuous on the product of closed polygons or belongs to the Smirnov class. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5645 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1271–1274 Український математичний журнал; Том 46 № 9 (1994); 1271–1274 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5645/7975 https://umj.imath.kiev.ua/index.php/umj/article/view/5645/7976 Copyright (c) 1994 Mel'nik Yu. I. |
| spellingShingle | Mel'nik, Yu. I. Мельник, Ю. І. On the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| title | On the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| title_alt | О скорости сходимости двойных рядов экспонент, представляющих регулярные функции в произведениях выпуклых многоугольников |
| title_full | On the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| title_fullStr | On the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| title_full_unstemmed | On the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| title_short | On the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| title_sort | on the rate of convergence of double series of exponents representing regular functions on products of convex polygons |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5645 |
| work_keys_str_mv | AT mel039nikyui ontherateofconvergenceofdoubleseriesofexponentsrepresentingregularfunctionsonproductsofconvexpolygons AT melʹnikûí ontherateofconvergenceofdoubleseriesofexponentsrepresentingregularfunctionsonproductsofconvexpolygons AT mel039nikyui oskorostishodimostidvojnyhrâdovéksponentpredstavlâûŝihregulârnyefunkciivproizvedeniâhvypuklyhmnogougolʹnikov AT melʹnikûí oskorostishodimostidvojnyhrâdovéksponentpredstavlâûŝihregulârnyefunkciivproizvedeniâhvypuklyhmnogougolʹnikov |