Integration by parts for the Lr Henstock-Kurzweil integral

Francesco Tulone; Paul Musial

Integration by parts for the Lr Henstock-Kurzweil integral

Francesco Tulone, Paul Musial

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Electronic Journal of Differential Equations
Volume	2015
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

Analysis

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@article{fa793e09966948b9805d0a674751ad71,

title = "Integration by parts for the Lr Henstock-Kurzweil integral",

abstract = "Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.",

keywords = "Henstock-Kurzweil, Integration by parts, Henstock-Kurzweil, Integration by parts",

author = "Francesco Tulone and Paul Musial",

year = "2015",

language = "English",

volume = "2015",

pages = "1--7",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - Integration by parts for the Lr Henstock-Kurzweil integral

AU - Tulone, Francesco

AU - Musial, Paul

PY - 2015

Y1 - 2015

N2 - Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.

AB - Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.

KW - Henstock-Kurzweil

KW - Integration by parts

KW - Henstock-Kurzweil

KW - Integration by parts

UR - http://hdl.handle.net/10447/163201

UR - http://ejde.math.txstate.edu/Volumes/2015/44/musial.pdf

M3 - Article

VL - 2015

SP - 1

EP - 7

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

ER -