Geodesic
On Knopp's Inequality for Convex Functions
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 267-272

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

DOI

Knopp's inequality for convex functions φ on an interval I = [m,M] states that for an explicit functional H, and all integrable g: [0, 1] → I. In this paper we give results of this kind in which the integral operator, ∫, is replaced by a general isotonic linear functional.
DOI : 10.4153/CMB-1987-038-1
Mots-clés : Primary 26D15, Secondary 26D20, 47B38 
Pečarić, J. E.; Beesack, P. R. On Knopp's Inequality for Convex Functions. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 267-272. doi: 10.4153/CMB-1987-038-1
@article{10_4153_CMB_1987_038_1,
     author = {Pe\v{c}ari\'c, J. E. and Beesack, P. R.},
     title = {On {Knopp's} {Inequality} for {Convex} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {267--272},
     year = {1987},
     volume = {30},
     number = {3},
     doi = {10.4153/CMB-1987-038-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-038-1/}
}
TY  - JOUR
AU  - Pečarić, J. E.
AU  - Beesack, P. R.
TI  - On Knopp's Inequality for Convex Functions
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 267
EP  - 272
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-038-1/
DO  - 10.4153/CMB-1987-038-1
ID  - 10_4153_CMB_1987_038_1
ER  - 
%0 Journal Article
%A Pečarić, J. E.
%A Beesack, P. R.
%T On Knopp's Inequality for Convex Functions
%J Canadian mathematical bulletin
%D 1987
%P 267-272
%V 30
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-038-1/
%R 10.4153/CMB-1987-038-1
%F 10_4153_CMB_1987_038_1

Cité par Sources :