A descriptive definition of a BV integral in the real line
Diana Caponetti; Valeria Marraffa
Mathematica Bohemica (1999)
- Volume: 124, Issue: 4, page 421-432
- ISSN: 0862-7959
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topCaponetti, Diana, and Marraffa, Valeria. "A descriptive definition of a BV integral in the real line." Mathematica Bohemica 124.4 (1999): 421-432. <http://eudml.org/doc/248475>.
@article{Caponetti1999,
abstract = {A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.},
author = {Caponetti, Diana, Marraffa, Valeria},
journal = {Mathematica Bohemica},
keywords = {pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem; ACG$^\circ $; ACG$^\circ $; pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem},
language = {eng},
number = {4},
pages = {421-432},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A descriptive definition of a BV integral in the real line},
url = {http://eudml.org/doc/248475},
volume = {124},
year = {1999},
}
TY - JOUR
AU - Caponetti, Diana
AU - Marraffa, Valeria
TI - A descriptive definition of a BV integral in the real line
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 4
SP - 421
EP - 432
AB - A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.
LA - eng
KW - pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem; ACG$^\circ $; ACG$^\circ $; pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem
UR - http://eudml.org/doc/248475
ER -
References
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- W. F. Pfeffer, 10.1090/S0002-9939-1992-1072090-2, Proc. Amer. Math. Soc. 114 (1992), 99-106. (1992) MR1072090DOI10.1090/S0002-9939-1992-1072090-2
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