A scalar Volterra derivative for the PoU-integral

@article{Marraffa2005,
abstract = {A weak form of the Henstock Lemma for the $\{\mathrm \{P\}oU\}$-integrable functions is given. This allows to prove the existence of a scalar Volterra derivative for the $\{\mathrm \{P\}oU\}$-integral. Also the $\{\mathrm \{P\}oU\}$-integrable functions are characterized by means of Pettis integrability and a condition involving finite pseudopartitions.},
author = {Marraffa, V.},
journal = {Mathematica Bohemica},
keywords = {Pettis integral; McShane integral; $\{\mathrm \{P\}oU\}$ integral; Volterra derivative; Pettis integral; McShane integral},
language = {eng},
number = {1},
pages = {49-62},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A scalar Volterra derivative for the PoU-integral},
url = {http://eudml.org/doc/249596},
volume = {130},
year = {2005},
}

TY - JOUR
AU - Marraffa, V.
TI - A scalar Volterra derivative for the PoU-integral
JO - Mathematica Bohemica
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 130
IS - 1
SP - 49
EP - 62
AB - A weak form of the Henstock Lemma for the ${\mathrm {P}oU}$-integrable functions is given. This allows to prove the existence of a scalar Volterra derivative for the ${\mathrm {P}oU}$-integral. Also the ${\mathrm {P}oU}$-integrable functions are characterized by means of Pettis integrability and a condition involving finite pseudopartitions.
LA - eng
KW - Pettis integral; McShane integral; ${\mathrm {P}oU}$ integral; Volterra derivative; Pettis integral; McShane integral
UR - http://eudml.org/doc/249596
ER -

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