Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A COUNTERPART OF BESSEL'S INEQUALITY IN INNER PRODUCT SPACES AND SOME GRUSS TYPE RELATED RESULTS

  • Dragomir Sever S. (SCHOOL OF COMPUTER SCIENCE AND MATHEMATICS, VICTORIA UNIVERSITY OF TECHNOLOGY)
  • Published : 2006.02.01
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Abstract

A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.

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References

  1. S. S. Dragomir, A generalization of Gruss's inequality in inner product spaces and applications, J. Math. Anal. Appl. 237 (1999), no. 1, 74-82 https://doi.org/10.1006/jmaa.1999.6452
  2. S. S. Dragomir, Some Gruss type inequalities in inner product spaces, JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), no. 2, Article 42. [Online: http://jipam.vu.edu.au]
  3. N. Ujevic, A new generalization of Gruss inequality in inner product spaces, Math. Inequal. Appl. 6 (2003), no. 4, 617-623