Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 24, Tome 232 (1996), pp. 123-133
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V. A. Malyshev. Estimates of the derivatives of $n$-convex functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 24, Tome 232 (1996), pp. 123-133. http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a9/
@article{ZNSL_1996_232_a9,
author = {V. A. Malyshev},
title = {Estimates of the derivatives of $n$-convex functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {123--133},
year = {1996},
volume = {232},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a9/}
}
TY - JOUR
AU - V. A. Malyshev
TI - Estimates of the derivatives of $n$-convex functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 123
EP - 133
VL - 232
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a9/
LA - ru
ID - ZNSL_1996_232_a9
ER -
%0 Journal Article
%A V. A. Malyshev
%T Estimates of the derivatives of $n$-convex functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 123-133
%V 232
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a9/
%G ru
%F ZNSL_1996_232_a9
In terms of nonlinear norm estimates, a qualitative refinement of the following known result is obtained: on the class of $n$-convex functions, the $L^1$-convergence implies the $C^{(n-2)}$-convergence. Bibl. 2 titles.
