Voir la notice de l'article provenant de la source Cambridge University Press
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 -
[1] 1. Beck, E., Komplementare Ungleichungen bei vergleichbaren Mittelwerten, Montash. für Math. 73 (1969), pp. 289–308. Google Scholar
[2] 2. Beesack, P.R., On inequalities complementary to Jensen's, Can. J. Math. 35 (1983), pp. 324–338. Google Scholar
[3] 3. Beesack, P.R. and Pečarić, J.E., OnJessen's inequality for convex functions, J. Math. Anal. Appl. 110 (1985), pp. 536–552. Google Scholar
[4] 4. Grüss, G., Über das Maximum des absoluten Betrages von Math. Zeit. 39 (1935), pp. 215–226. Google Scholar
[5] 5. Knopp, K., Über die maximalen Abstde una Verhältnisse verschiedener Mittelwerte, Math. Zeit. 39 (1935), pp. 768–776. Google Scholar
[6] 6. Mitrinović, D.S., Bullen, P.S. and Vasić, P.M., Sredine i sa njima povezane nejednakosti, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 600 (1977), pp. 1–232. Google Scholar
[7] 7. Mitrinović, D.S., Analytic Inequalities, Berlin-Heidelberg-New York, 1970. Google Scholar
[8] 8. Mitrinović, D.S. and Vasić, P.M., The centroid method in inequalities, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 498-541 (1975), pp. 3–16. Google Scholar
[9] 9. Popoviciu, T., Les Fonctions Convexes, Paris, 1944. Google Scholar
Cité par Sources :