Geodesic
SEVERAL DISCRETE INEQUALITIES FOR CONVEX FUNCTIONS
CHAI, XINKUAN1 ; ZHAO , YONGGANG 1 ; DU, HONGXIA1
1 College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 188-192.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we establish some interesting discrete inequalities involving convex functions and pose an open problem.
DOI : 10.22436/jnsa.003.03.05
Classification : 26D15
Keywords: Qi-type inequality, discrete inequality, convex functions.

CHAI, XINKUAN 1 ; ZHAO , YONGGANG  1 ; DU, HONGXIA 1

1 College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China 
@article{JNSA_2010_3_3_a4,
     author = {CHAI, XINKUAN and ZHAO , YONGGANG  and DU, HONGXIA},
     title = {SEVERAL {DISCRETE} {INEQUALITIES} {FOR} {CONVEX} {FUNCTIONS}},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {188-192},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {2010},
     doi = {10.22436/jnsa.003.03.05},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.03.05/}
}
TY  - JOUR
AU  - CHAI, XINKUAN
AU  - ZHAO , YONGGANG 
AU  - DU, HONGXIA
TI  - SEVERAL DISCRETE INEQUALITIES FOR CONVEX FUNCTIONS
JO  - Journal of nonlinear sciences and its applications
PY  - 2010
SP  - 188
EP  - 192
VL  - 3
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.03.05/
DO  - 10.22436/jnsa.003.03.05
LA  - en
ID  - JNSA_2010_3_3_a4
ER  - 
%0 Journal Article
%A CHAI, XINKUAN
%A ZHAO , YONGGANG 
%A DU, HONGXIA
%T SEVERAL DISCRETE INEQUALITIES FOR CONVEX FUNCTIONS
%J Journal of nonlinear sciences and its applications
%D 2010
%P 188-192
%V 3
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.03.05/
%R 10.22436/jnsa.003.03.05
%G en
%F JNSA_2010_3_3_a4
CHAI, XINKUAN; ZHAO , YONGGANG ; DU, HONGXIA. SEVERAL DISCRETE INEQUALITIES FOR CONVEX FUNCTIONS. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 188-192. doi : 10.22436/jnsa.003.03.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.03.05/

[1] M. Akkouchi On an integral inequality of Feng Qi, Divulg. Mat., Volume 13 (2005), pp. 11-19

[2] Bougoffa, L. Notes on Qi type integral inequalities, J. Inequal. Pure and Appl. Math., Volume 4 (2003), pp. 1-77

[3] Chen, Y.; Kimball, J. Note on an open problem of Feng Qi , J. Inequal. Pure and Appl. Math., Volume 7 (2006), pp. 1-4

[4] Csiszár, V.; Mµori, T. F. The convexity method of proving moment-type inequalities, Statist. Probab. Lett., Volume 66 (2004), pp. 303-313

[5] Liu, W. J.; Ngô, Q. A.; Huy, V. N. Several interesting integral inequalities, J. Math. Inequal., Volume 3 (2009), pp. 201-212

[6] Mazouzi, S.; Qi, F. On an open problem regarding an integral inequality, J. Inequal. Pure and Appl. Math., Volume 4 (2003), pp. 1-31

[7] Miao, Y. Further development of Qi-type integral inequality, J. Inequal. Pure and Appl. Math., Volume 7 (2006), pp. 1-144

[8] Miao, I.; Li, J. F. Further development of an open problem, J. Inequal. Pure and Appl. Math., Volume 9 (2008), pp. 1-108

[9] Miao, I.; Liu, J. F. Discrete results of Qi-type inequality, Bull. Korean Math. Soc., Volume 46 (2009), pp. 125-134

[10] Miao, I.; Qi, F. A discrete version of an open problem and several answers, J. Inequal. Pure and Appl. Math., Volume 10 (2009), pp. 1-49

[11] Pečarić, J.; Pejković, T. Note on Feng Qi's integral inequality, J. Inequal. Pure and Appl. Math., Volume 5 (2004), pp. 1-51

[12] Pogány, T. K. On an open problem of F. Qi, J. Inequal. Pure and Appl. Math., Volume 3 (2002), pp. 1-54

[13] Qi, F. Several integral inequalities, J. Inequal. Pure and Appl. Math., Volume 1 (2000), pp. 1-19

[14] Qi, F.; Li, A. J.; Zhao, W. Z.; Niu, D. W.; Cao, J. Extensions of several integral inequalities, JIPAM. J. Inequal. Pure and Appl. Math., Volume 7 (2006), pp. 1-107

[15] Towghi, N. Notes on integral inequalities, RGMIA Res. Rep. Coll., Volume 4 (2001), pp. 277-278

[16] Yu, K.-W.; Qi, F. A short note on an integral inequality, RGMIA Res. Rep. Coll., Volume 4 (2001), pp. 23-25

Cité par Sources :