New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series
There are obtained integral form and recurrence representations for some Fourier series and connected with them Favard constants. The method is based on preliminary integration of Fourier series which permits to establish general recursion formulas for Favard constants. This gives the opportunity fo...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/523618 |
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| author | Snezhana Georgieva Gocheva-Ilieva Ivan Hristov Feschiev |
| author_facet | Snezhana Georgieva Gocheva-Ilieva Ivan Hristov Feschiev |
| author_sort | Snezhana Georgieva Gocheva-Ilieva |
| collection | DOAJ |
| description | There are obtained integral form and recurrence representations for some Fourier series and connected with them Favard constants. The method is based on preliminary integration of Fourier series which permits to establish general recursion formulas for Favard constants. This gives the opportunity for effective summation of infinite series and calculation of some classes of multiple singular integrals by the Favard constants. |
| format | Article |
| id | doaj-art-17b233ef5b1746c599b4cb1045986c66 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-17b233ef5b1746c599b4cb1045986c662025-02-03T07:24:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/523618523618New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of SeriesSnezhana Georgieva Gocheva-Ilieva0Ivan Hristov Feschiev1Faculty of Mathematics and Computer Science, Paisii Hilendarski University of Plovdiv, 24 Tzar Assen Street, 4000 Plovdiv, BulgariaFaculty of Mathematics and Computer Science, Paisii Hilendarski University of Plovdiv, 24 Tzar Assen Street, 4000 Plovdiv, BulgariaThere are obtained integral form and recurrence representations for some Fourier series and connected with them Favard constants. The method is based on preliminary integration of Fourier series which permits to establish general recursion formulas for Favard constants. This gives the opportunity for effective summation of infinite series and calculation of some classes of multiple singular integrals by the Favard constants.http://dx.doi.org/10.1155/2013/523618 |
| spellingShingle | Snezhana Georgieva Gocheva-Ilieva Ivan Hristov Feschiev New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series Abstract and Applied Analysis |
| title | New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series |
| title_full | New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series |
| title_fullStr | New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series |
| title_full_unstemmed | New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series |
| title_short | New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series |
| title_sort | new recursive representations for the favard constants with application to multiple singular integrals and summation of series |
| url | http://dx.doi.org/10.1155/2013/523618 |
| work_keys_str_mv | AT snezhanageorgievagochevailieva newrecursiverepresentationsforthefavardconstantswithapplicationtomultiplesingularintegralsandsummationofseries AT ivanhristovfeschiev newrecursiverepresentationsforthefavardconstantswithapplicationtomultiplesingularintegralsandsummationofseries |