Riemann-type definition of the improper integrals

Donatella Bongiorno

Riemann-type definition of the improper integrals

Risultato della ricerca: Article › peer review

Abstract

Riemann-type definitions of the Riemann improper integraland of the Lebesgue improper integral are obtained from McShane'sdefinition of the Lebesgue integral by imposing a Kurzweil-Henstock's condition on McShane's partitions.

Lingua originale	English
pagine (da-a)	717-725
Numero di pagine	9
Rivista	Czechoslovak Mathematical Journal
Volume	54
Stato di pubblicazione	Published - 2004

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title = "Riemann-type definition of the improper integrals",

abstract = "Riemann-type definitions of the Riemann improper integraland of the Lebesgue improper integral are obtained from McShane'sdefinition of the Lebesgue integral by imposing a Kurzweil-Henstock's condition on McShane's partitions.",

keywords = "Kurzweil-Henstock's partition, McShane's partition, Kurzweil-Henstock's partition, McShane's partition",

author = "Donatella Bongiorno",

year = "2004",

language = "English",

volume = "54",

pages = "717--725",

journal = "Czechoslovak Mathematical Journal",

issn = "0011-4642",

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T1 - Riemann-type definition of the improper integrals

AU - Bongiorno, Donatella

PY - 2004

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AB - Riemann-type definitions of the Riemann improper integraland of the Lebesgue improper integral are obtained from McShane'sdefinition of the Lebesgue integral by imposing a Kurzweil-Henstock's condition on McShane's partitions.

KW - Kurzweil-Henstock's partition

KW - McShane's partition

KW - Kurzweil-Henstock's partition

KW - McShane's partition

UR - http://hdl.handle.net/10447/28910

M3 - Article

VL - 54

SP - 717

EP - 725

JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

SN - 0011-4642

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