Browse > Article
http://dx.doi.org/10.4134/BKMS.2009.46.1.125

DISCRETE RESULTS OF QI-TYPE INEQUALITY  

Miao, Yu (COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE HENAN NORMAL UNIVERSITY)
Liu, Juan-Fang (COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE HENAN NORMAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.1, 2009 , pp. 125-134 More about this Journal
Abstract
In the present paper, we give several discrete results for the open problem posed in the article [Feng Qi, Several integral inequalities, J. Inequal. Pure and Appl. Math. 1(2000), no. 2, Art. 19].
Keywords
discrete random variable; $H{\ddot{o}}lder$ inequality; integral inequality; Jensen inequality; Qi-type inequality; reverse inequality;
Citations & Related Records

Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 Y. Miao, Further development of Qi-type integral inequality, JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 4, Article 144, 8 pp.
2 L. Bougoffa, Notes on Qi type integral inequalities, JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), no. 4, Article 77, 4 pp.
3 Y. Chen and J. Kimball, Note on an open problem of Feng Qi, JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 1, Article 4, 4 pp.
4 V. Csiszar and T. F. Mori, The convexity method of proving moment-type inequalities, Statist. Probab. Lett. 66 (2004), no. 3, 303–313.   DOI   ScienceOn
5 S. Mazouzi and F. Qi, On an open problem regarding an integral inequality, JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), no. 2, Article 31, 6 pp.
6 T. K. Pog´any, On an open problem of F. Qi, JIPAM. J. Inequal. Pure Appl. Math. 3 (2002), no. 4, Article 54, 5 pp.
7 F. Qi, Several integral inequalities, JIPAM. J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Article 19, 3 pp.
8 F. Qi, A. J. Li, W. Z. Zhao, D. W. Niu, and J. Cao, Extensions of several integral inequalities, JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 3, Article 107, 6 pp.
9 N. Towghi, Notes on integral inequalities, RGMIA Res. Rep. Coll. 4 (2001), no. 2, Art. 10, 277–278.
10 S. Saitoh, V. K. Tuan, and M. Yamamoto, Reverse convolution inequalities and applications to inverse heat source problems, JIPAM. J. Inequal. Pure Appl. Math. 3 (2003), no. 5, Art. 80.
11 K.-W. Yu and F. Qi, A short note on an integral inequality, RGMIA Res. Rep. Coll. 4 (2001), no. 1, Art. 4, 23–25.
12 M. Akkouchi, On an integral inequality of Feng Qi, Divulg. Mat. 13 (2005), no. 1, 11–19.
13 Z. Nehari, Inverse Holder inequalities, J. Math. Anal. Appl. 21 (1968), 405–420.   DOI
14 J. Pecaric and T. Pejkovic, Note on Feng Qi's integral inequality, JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 3, Article 51, 3 pp.