Certain remarks on approximation of the hing smoothness functions by the Fourier operators
Получены асимптотические равенства для верхних граней уклонений операторов Фурье на классах функций Ĉψβ,∞ при дополнительных предположениях на их (ψ, β)-производные....
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7806 |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512768881328128 |
|---|---|
| author | Stepanets , A. I. Степанец, А. И. |
| author_facet | Stepanets , A. I. Степанец, А. И. |
| author_sort | Stepanets , A. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-09-14T12:03:56Z |
| description | Получены асимптотические равенства для верхних граней уклонений операторов Фурье на классах функций Ĉψβ,∞ при дополнительных предположениях на их (ψ, β)-производные. |
| first_indexed | 2026-03-24T03:34:02Z |
| format | Article |
| fulltext |
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1 38 ISSN 0041-6053. ~/i,p. AtaT. :HCypx., 1992, T. 44, M I
A di
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ISSN 0041-6053. Y,cp_ MGT. 31eypH., 1992, T. 44, M 1 139
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00
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1 'ljl y) dt < K < oo, (7)
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TeopeMa.
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npepbt8Haa npu ecex a > I u m aKwz, 1tmo aa (a) > a 0 > 0 . Tozaa ecAu
t E ct s M,' mo npu ecex X ER' ~ E R H a> I
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n
s fl (x + t) sin (at/ ~n/2) dt + bJ (a; f; x),
ma~\11~1
zae ma= min (a (a), I) u
I bt (a; f; x) I~ K1 (,p (a)+ Qa (a; 'ljl)),
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n a CJ)
( 12)
ISSN 004 1-6053. Y,w . .llaT, :IICypn .• 1992, T . 44, M J
2ae In+ t = m ax (Int, 0) u
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= ,p- 1 (1j1 (o) /2).
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n
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lim (11 (a) - a)= 0, ( 16)
a-oo
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nop0>1<na 10tuy10 1<JJaccb1 u eJibIX cpy m rn 11fi . (TT onpo61-1ee 06 3TOM cM . [ I - 4].)
OT \1CH1 M em e , l JTQ B n e pH0llHlJeCK0M cJJy tJae a Ha Jior paBeHCTBa ( 14),
n oJiylleHHbl.11 clB'ropoM B 131, HMee·1 [1 11,ll
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HOft OCl1 / / YKp. MaT. >KypH . - 1988. - 40, NQ 2.- C. 198-209.
2. CmenaH.el( A. H. KJJaCCbl cjJyHKUHH, 33/la HHblX Ha /leHCTBHTeJlhHOll OCH, H HX npH6JIH>KeHHH
u eJJhtMH cj)yHKUHSIMH. I / / T a M >Ke. - 19QO.- 42, N9 1.- C. 102-112.
3. CmenaHel( A. 11. KJJaccmjrnKaUH SI 11 np116JJH)Ke fme n ep HO/lH lleCKH X cpy HKUHfl.- KHeB :
1-la y K. ilYMKa, 1987.- 268 C.
4. CmenaH.el.{ A. H . KnaCCbl cjJyHKUHH, 3a)la HHblX Ha nei1CTBHTMbHOfl OCH, H HX npH6JIH>KeHHll
ueJJbIMH cpy HKU11SIMH. II// YKp, MaT. )l{yptt.- 1990.- 42, NQ 3.- G. 210-222.
nonylletto 16.0 1.91
ISSN 0041-6053, Yxp. MaT. rNCypn,, 1992, r. 44, M 1 141
0130-1
0131
0132
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| id | umjimathkievua-article-7806 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:02Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/da/8658b01c501558c9351afa9a7944a2da.pdf |
| spelling | umjimathkievua-article-78062023-09-14T12:03:56Z Certain remarks on approximation of the hing smoothness functions by the Fourier operators Несколько замечаний о приближении операторами Фурье функций высокой гладкости Stepanets , A. I. Степанец, А. И. Получены асимптотические равенства для верхних граней уклонений операторов Фурье на классах функций Ĉψβ,∞ при дополнительных предположениях на их (ψ, β)-производные. Знайдені асимптотичні рівності для верхніх граней відхилень операторів Фур’є на класах функцій Ĉψβ,∞&nbsp; за додаткових умов на їх (ψ, β)-похідні. Institute of Mathematics, NAS of Ukraine 1992-02-04 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7806 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 1 (1992); 138-141 Український математичний журнал; Том 44 № 1 (1992); 138-141 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7806/9473 Copyright (c) 1992 A. I. Stepanets |
| spellingShingle | Stepanets , A. I. Степанец, А. И. Certain remarks on approximation of the hing smoothness functions by the Fourier operators |
| title | Certain remarks on approximation of the hing smoothness functions by the Fourier operators |
| title_alt | Несколько замечаний о приближении операторами Фурье функций высокой гладкости |
| title_full | Certain remarks on approximation of the hing smoothness functions by the Fourier operators |
| title_fullStr | Certain remarks on approximation of the hing smoothness functions by the Fourier operators |
| title_full_unstemmed | Certain remarks on approximation of the hing smoothness functions by the Fourier operators |
| title_short | Certain remarks on approximation of the hing smoothness functions by the Fourier operators |
| title_sort | certain remarks on approximation of the hing smoothness functions by the fourier operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7806 |
| work_keys_str_mv | AT stepanetsai certainremarksonapproximationofthehingsmoothnessfunctionsbythefourieroperators AT stepanecai certainremarksonapproximationofthehingsmoothnessfunctionsbythefourieroperators AT stepanetsai neskolʹkozamečanijopribliženiioperatoramifurʹefunkcijvysokojgladkosti AT stepanecai neskolʹkozamečanijopribliženiioperatoramifurʹefunkcijvysokojgladkosti |