DOI QR코드

DOI QR Code

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)
  • Published : 2009.01.31

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

References

  1. M. Akkouchi, On an integral inequality of Feng Qi, Divulg. Mat. 13 (2005), no. 1, 11–19.
  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. https://doi.org/10.1016/j.spl.2003.11.007
  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. Y. Miao, Further development of Qi-type integral inequality, JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 4, Article 144, 8 pp.
  7. Z. Nehari, Inverse Holder inequalities, J. Math. Anal. Appl. 21 (1968), 405–420. https://doi.org/10.1016/0022-247X(68)90224-2
  8. 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.
  9. 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.
  10. F. Qi, Several integral inequalities, JIPAM. J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Article 19, 3 pp.
  11. 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.
  12. 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.
  13. N. Towghi, Notes on integral inequalities, RGMIA Res. Rep. Coll. 4 (2001), no. 2, Art. 10, 277–278.
  14. 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.

Cited by

  1. Some Integral Inequalities on Time Scales vol.64, pp.3-4, 2013, https://doi.org/10.1007/s00025-013-0320-z
  2. Some inequalities of Qi type for double integrals vol.22, pp.3, 2014, https://doi.org/10.1016/j.joems.2013.11.002