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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Bibliographic Details
Main Authors: Salvador Sánchez-Perales, Francisco J. Mendoza Torres, Juan A. Escamilla Reyna
Format: Article
Language:English
Published: Wiley 2012-01-01
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