Tauberian-type theorems with application to the Stieltjes transformation
In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributi...
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| Format: | Article |
| Language: | English |
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Wiley
2006-09-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/75816 |
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| author | S. B. Gaikwad M. S. Chaudhary |
| author_facet | S. B. Gaikwad M. S. Chaudhary |
| author_sort | S. B. Gaikwad |
| collection | DOAJ |
| description | In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations. |
| format | Article |
| id | doaj-art-c3942705abf14d13a7e6ef60ad7bead4 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-09-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c3942705abf14d13a7e6ef60ad7bead42025-08-20T03:23:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-09-01200610.1155/IJMMS/2006/75816Tauberian-type theorems with application to the Stieltjes transformationS. B. GaikwadM. S. ChaudharyIn the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.http://dx.doi.org/10.1155/IJMMS/2006/75816 |
| spellingShingle | S. B. Gaikwad M. S. Chaudhary Tauberian-type theorems with application to the Stieltjes transformation International Journal of Mathematics and Mathematical Sciences |
| title | Tauberian-type theorems with application to the Stieltjes transformation |
| title_full | Tauberian-type theorems with application to the Stieltjes transformation |
| title_fullStr | Tauberian-type theorems with application to the Stieltjes transformation |
| title_full_unstemmed | Tauberian-type theorems with application to the Stieltjes transformation |
| title_short | Tauberian-type theorems with application to the Stieltjes transformation |
| title_sort | tauberian type theorems with application to the stieltjes transformation |
| url | http://dx.doi.org/10.1155/IJMMS/2006/75816 |
| work_keys_str_mv | AT sbgaikwad tauberiantypetheoremswithapplicationtothestieltjestransformation AT mschaudhary tauberiantypetheoremswithapplicationtothestieltjestransformation |