Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 4, pp. 419-439
Citer cet article
I. V. Orlov. Finite increments formula for mappings into inductive scales of spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 4, pp. 419-439. http://geodesic.mathdoc.fr/item/JMAG_2001_8_4_a4/
@article{JMAG_2001_8_4_a4,
author = {I. V. Orlov},
title = {Finite increments formula for mappings into inductive scales of spaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {419--439},
year = {2001},
volume = {8},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_4_a4/}
}
TY - JOUR
AU - I. V. Orlov
TI - Finite increments formula for mappings into inductive scales of spaces
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2001
SP - 419
EP - 439
VL - 8
IS - 4
UR - http://geodesic.mathdoc.fr/item/JMAG_2001_8_4_a4/
LA - ru
ID - JMAG_2001_8_4_a4
ER -
%0 Journal Article
%A I. V. Orlov
%T Finite increments formula for mappings into inductive scales of spaces
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2001
%P 419-439
%V 8
%N 4
%U http://geodesic.mathdoc.fr/item/JMAG_2001_8_4_a4/
%G ru
%F JMAG_2001_8_4_a4
Finite increments formula with closed convex estimate is transfered to the differentiable mappings into linear scales of locally convex spaces and homogeneously differentiable mappings into nonlinear scales. A weakened variant of the formula with functionally separable convex estimate is obtained for mappings into general inductive scales. Some generalizations and applications are considered.
