On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces
Yu. Mel’nik showed that the Leont’ev coefficients Κ f (λ) in the Dirichlet series 2n/(n+1)<p>2 of a function f ∈E p (D), 1 < p < ∞, are the Fourier coefficients of some function F ∈L p , ([0, 2π]) and that the first modulus of continuity of F can be estimated by the first moduli and m...
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| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2004
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| Schriftenreihe: | Український математичний журнал |
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| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/163637 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces / B. Forster // Український математичний журнал. — 2004. — Т. 56, № 4. — С. 517–526. — Бібліогр.: 8 назв. — англ. |
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irk-123456789-1636372020-02-04T01:25:41Z On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces Forster, B. Статті Yu. Mel’nik showed that the Leont’ev coefficients Κ f (λ) in the Dirichlet series 2n/(n+1)<p>2 of a function f ∈E p (D), 1 < p < ∞, are the Fourier coefficients of some function F ∈L p , ([0, 2π]) and that the first modulus of continuity of F can be estimated by the first moduli and majorants in f. In the present paper, we extend his results to moduli of arbitrary order. Ю. І. Мельник показав, що коефіцієнти Леонтьєва 2n/(n+1)<p>2 для функції f ∈E p (D), 1 < p < ∞, є коефіцієнтами Фур'є для деякої функції F∈Lp,([0,2π]) і що перший модуль неперервності F можна оцінити першими модулями та мажораптами в f. У даній статті його результати поширено на модулі довільного порядку. 2004 Article On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces / B. Forster // Український математичний журнал. — 2004. — Т. 56, № 4. — С. 517–526. — Бібліогр.: 8 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/163637 517.5 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Forster, B. On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces Український математичний журнал |
| description |
Yu. Mel’nik showed that the Leont’ev coefficients Κ f (λ) in the Dirichlet series 2n/(n+1)<p>2 of a function f ∈E p (D), 1 < p < ∞, are the Fourier coefficients of some function F ∈L p , ([0, 2π]) and that the first modulus of continuity of F can be estimated by the first moduli and majorants in f. In the present paper, we extend his results to moduli of arbitrary order. |
| format |
Article |
| author |
Forster, B. |
| author_facet |
Forster, B. |
| author_sort |
Forster, B. |
| title |
On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces |
| title_short |
On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces |
| title_full |
On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces |
| title_fullStr |
On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces |
| title_full_unstemmed |
On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces |
| title_sort |
on the relation between fourier and leont’ev coefficients with respect to smirnov spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2004 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/163637 |
| citation_txt |
On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces / B. Forster // Український математичний журнал. — 2004. — Т. 56, № 4. — С. 517–526. — Бібліогр.: 8 назв. — англ. |
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Український математичний журнал |
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AT forsterb ontherelationbetweenfourierandleontevcoefficientswithrespecttosmirnovspaces |
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2025-07-14T16:09:04Z |
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2025-07-14T16:09:04Z |
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1837639239216398336 |