Concepts of generalized bounded variation and the theory of Fourier series
The aim of this article is to unify a large part of present knowledge about the behaviour of Fourier series of functions of generalized bounded variation. The connections between various concepts are discussed, particular attention being payed to those due to Waterman and Chanturiya. Exploiting the...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000285 |
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| _version_ | 1832545290807148544 |
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| author | M. Avdispahić |
| author_facet | M. Avdispahić |
| author_sort | M. Avdispahić |
| collection | DOAJ |
| description | The aim of this article is to unify a large part of present knowledge about the behaviour of Fourier series of functions of generalized bounded variation. The connections between various concepts are discussed, particular attention being payed to those due to Waterman and Chanturiya. Exploiting the existing interactions and utilizing the power of one or another approach to some typical questions of the Fourier theory, a number of previously unnoticed results are obtained in the course of this exposition. |
| format | Article |
| id | doaj-art-2c82c85d30804615890fba15c6585d61 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2c82c85d30804615890fba15c6585d612025-02-03T07:26:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019222324410.1155/S0161171286000285Concepts of generalized bounded variation and the theory of Fourier seriesM. Avdispahić0Univerzitet “Dzemal Bijedić”, Gradjevinski fakultet, A. Zuanića 14, Mostar 88000, Serbia and MontenegroThe aim of this article is to unify a large part of present knowledge about the behaviour of Fourier series of functions of generalized bounded variation. The connections between various concepts are discussed, particular attention being payed to those due to Waterman and Chanturiya. Exploiting the existing interactions and utilizing the power of one or another approach to some typical questions of the Fourier theory, a number of previously unnoticed results are obtained in the course of this exposition.http://dx.doi.org/10.1155/S0161171286000285Fourier seriesgeneralized bounded variationuniform and absolute convergencesGibb's phenomenon. |
| spellingShingle | M. Avdispahić Concepts of generalized bounded variation and the theory of Fourier series International Journal of Mathematics and Mathematical Sciences Fourier series generalized bounded variation uniform and absolute convergences Gibb's phenomenon. |
| title | Concepts of generalized bounded variation and the theory of Fourier series |
| title_full | Concepts of generalized bounded variation and the theory of Fourier series |
| title_fullStr | Concepts of generalized bounded variation and the theory of Fourier series |
| title_full_unstemmed | Concepts of generalized bounded variation and the theory of Fourier series |
| title_short | Concepts of generalized bounded variation and the theory of Fourier series |
| title_sort | concepts of generalized bounded variation and the theory of fourier series |
| topic | Fourier series generalized bounded variation uniform and absolute convergences Gibb's phenomenon. |
| url | http://dx.doi.org/10.1155/S0161171286000285 |
| work_keys_str_mv | AT mavdispahic conceptsofgeneralizedboundedvariationandthetheoryoffourierseries |