Henstock-Kurzweil Integral Transforms
We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .
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Main Authors: | , , |
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2012/209462 |
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author | Salvador Sánchez-Perales Francisco J. Mendoza Torres Juan A. Escamilla Reyna |
author_facet | Salvador Sánchez-Perales Francisco J. Mendoza Torres Juan A. Escamilla Reyna |
author_sort | Salvador Sánchez-Perales |
collection | DOAJ |
description | We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with . |
format | Article |
id | doaj-art-e924ca8e5d5c46bbb2349fd6bc479e0b |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-e924ca8e5d5c46bbb2349fd6bc479e0b2025-02-03T01:32:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/209462209462Henstock-Kurzweil Integral TransformsSalvador Sánchez-Perales0Francisco J. Mendoza Torres1Juan A. Escamilla Reyna2Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, KM. 2.5, Carretera a Acatlima, 69000 Huajuapan de León, Oaxaca, MexicoBenemérita Universidad Autónoma de Puebla, 72570 Puebla, Puebla, MexicoBenemérita Universidad Autónoma de Puebla, 72570 Puebla, Puebla, MexicoWe show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .http://dx.doi.org/10.1155/2012/209462 |
spellingShingle | Salvador Sánchez-Perales Francisco J. Mendoza Torres Juan A. Escamilla Reyna Henstock-Kurzweil Integral Transforms International Journal of Mathematics and Mathematical Sciences |
title | Henstock-Kurzweil Integral Transforms |
title_full | Henstock-Kurzweil Integral Transforms |
title_fullStr | Henstock-Kurzweil Integral Transforms |
title_full_unstemmed | Henstock-Kurzweil Integral Transforms |
title_short | Henstock-Kurzweil Integral Transforms |
title_sort | henstock kurzweil integral transforms |
url | http://dx.doi.org/10.1155/2012/209462 |
work_keys_str_mv | AT salvadorsanchezperales henstockkurzweilintegraltransforms AT franciscojmendozatorres henstockkurzweilintegraltransforms AT juanaescamillareyna henstockkurzweilintegraltransforms |