Convergence theorems for the PU-integral
Mathematica Bohemica (2000)
- Volume: 125, Issue: 1, page 77-86
- ISSN: 0862-7959
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Abstract
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topRiccobono, Giuseppa. "Convergence theorems for the PU-integral." Mathematica Bohemica 125.1 (2000): 77-86. <http://eudml.org/doc/248680>.
@article{Riccobono2000,
abstract = {We give a definition of uniform PU-integrability for a sequence of $\mu $-measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $\mu $-integrability.},
author = {Riccobono, Giuseppa},
journal = {Mathematica Bohemica},
keywords = {PU-integral; PU-uniform integrability; $\mu $-uniform integrability; PU-integral; PU-uniform integrability; -uniform integrability},
language = {eng},
number = {1},
pages = {77-86},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convergence theorems for the PU-integral},
url = {http://eudml.org/doc/248680},
volume = {125},
year = {2000},
}
TY - JOUR
AU - Riccobono, Giuseppa
TI - Convergence theorems for the PU-integral
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 1
SP - 77
EP - 86
AB - We give a definition of uniform PU-integrability for a sequence of $\mu $-measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $\mu $-integrability.
LA - eng
KW - PU-integral; PU-uniform integrability; $\mu $-uniform integrability; PU-integral; PU-uniform integrability; -uniform integrability
UR - http://eudml.org/doc/248680
ER -
References
top- A. M. Bruckner, Differentiation of integrals, Supplement to the Amer. Math. Monthly 78 (1971), no. 9, 1-51. (1971) Zbl0225.28002MR0293044
- R. A. Gordon, Another look at a convergence theorem for the Henstock integral, Real Anal. Exchange 15 (1989/90), 724-728. (1989) MR1059433
- R. A. Gordon, Riemann tails and the Lebesgue and the Henstock integrals, Real Anal. Exchange 17 (1991/92), 789-795. (1991) MR1171422
- G. Riccobono, A PU-integral on an abstract metric space, Math. Bohem. 122 (1997), 83-95. (1997) Zbl0891.28003MR1446402
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