DOI QR코드

DOI QR Code

SOME COMPANIONS OF GRÜSS INEQUALITY IN 2-INNER PRODUCT SPACES AND APPLICATIONS FOR DETERMINANTAL INTEGRAL INEQUALITIES

  • FREESE R. W. ;
  • DRAGOMIR S. S. ;
  • CHO, Y.J. ;
  • KIM, S.S.
  • Published : 2005.07.01

Abstract

Some companions of Gruss inequality in 2-inner product spaces and applications for determinantal integral inequalities are given.

Keywords

2-inner products;integral inequality;determinantal inequalities

References

  1. Y. J. Cho, Paul C. S. Lin, S. S. Kim, and A. Misiak, Theory of 2-inner product spaces, Nova Science Publishers, Inc. New York, 2001
  2. Y. J. Cho, M. Matic, and J. E. Pecaric, On Gram's determinant in 2-inner product spaces, J. Korean Math. Soc. 38 (2001), no. 6, 1125-1156
  3. S. S. Dragomir, A generalization of Gruss' inequality in inner product spaces and applications, J. Math. Anal. Appl. 237 (1999), 74-82 https://doi.org/10.1006/jmaa.1999.6452
  4. S. S. Dragomir and I. Gomm, Some integral and discrete versions of the Gruss inequality for real and complex functions and sequences, RGMIA Res. Rep. Cell. 5 (2003), no. 3
  5. S. S. Dragamir, Y. J. Cha, S. M. Kang, S. S. Kim, and J. S. Jung, Some Gruss' type inequalities in 2-inner product spaces and applications for determinantal integral inequalities, preprint
  6. R. W. Freese andY. J. Cho, Geometry of linear 2-normed spaces, Nova Science Publishers, Inc. New York, 2001