Geodesic
Splicing n-Convex Functions using Splines
Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 107-109

Voir la notice de l'article provenant de la source Cambridge

DOI

It is proved that a regular piecewise n-convex function differs from an n-convex function only by a polynomial spline of degree n - 1. The argument is given in terms of Peano and de la Vallée Poussin derivatives.
DOI : 10.4153/CMB-1980-015-9
Mots-clés : 26A51, 41A15, n-convex function, Splines 
Cross, G. E. Splicing n-Convex Functions using Splines. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 107-109. doi: 10.4153/CMB-1980-015-9
@article{10_4153_CMB_1980_015_9,
     author = {Cross, G. E.},
     title = {Splicing {n-Convex} {Functions} using {Splines}},
     journal = {Canadian mathematical bulletin},
     pages = {107--109},
     year = {1980},
     volume = {23},
     number = {1},
     doi = {10.4153/CMB-1980-015-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-015-9/}
}
TY  - JOUR
AU  - Cross, G. E.
TI  - Splicing n-Convex Functions using Splines
JO  - Canadian mathematical bulletin
PY  - 1980
SP  - 107
EP  - 109
VL  - 23
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-015-9/
DO  - 10.4153/CMB-1980-015-9
ID  - 10_4153_CMB_1980_015_9
ER  - 
%0 Journal Article
%A Cross, G. E.
%T Splicing n-Convex Functions using Splines
%J Canadian mathematical bulletin
%D 1980
%P 107-109
%V 23
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-015-9/
%R 10.4153/CMB-1980-015-9
%F 10_4153_CMB_1980_015_9

Cité par Sources :