On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$
Moricz [Analysis (Munich) 18(1) (1998), 1-8] characterized summability (C,1) of integrals by convergence of another integral. In this work, we extend this result to logarithmic summability (L,1) of integrals.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50824 |
| _version_ | 1797633581718175744 |
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| author | Gökşen Fındık İbrahim Çanak |
| author_facet | Gökşen Fındık İbrahim Çanak |
| author_sort | Gökşen Fındık |
| collection | DOAJ |
| description |
Moricz [Analysis (Munich) 18(1) (1998), 1-8] characterized summability (C,1) of integrals by convergence of another integral. In this work, we extend this result to logarithmic summability (L,1) of integrals.
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| first_indexed | 2024-03-11T11:55:54Z |
| format | Article |
| id | doaj.art-7e74c15a96f14daa869e3198d0a7a306 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:54Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-7e74c15a96f14daa869e3198d0a7a3062023-11-08T19:07:33ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.50824On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$Gökşen Fındık0İbrahim Çanak1Ege UniversityEge University Moricz [Analysis (Munich) 18(1) (1998), 1-8] characterized summability (C,1) of integrals by convergence of another integral. In this work, we extend this result to logarithmic summability (L,1) of integrals. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50824 |
| spellingShingle | Gökşen Fındık İbrahim Çanak On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ Boletim da Sociedade Paranaense de Matemática |
| title | On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ |
| title_full | On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ |
| title_fullStr | On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ |
| title_full_unstemmed | On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ |
| title_short | On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ |
| title_sort | on the logarithmic summability l 1 of integrals on 1 infty |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50824 |
| work_keys_str_mv | AT goksenfındık onthelogarithmicsummabilityl1ofintegralson1infty AT ibrahimcanak onthelogarithmicsummabilityl1ofintegralson1infty |