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A COUNTERPART OF BESSEL`S INEQUALITY IN INNER PRODUCT SPACES AND SOME GRUSS TYPE RELATED RESULTS
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 Title & Authors
A COUNTERPART OF BESSEL`S INEQUALITY IN INNER PRODUCT SPACES AND SOME GRUSS TYPE RELATED RESULTS
Dragomir Sever S.;
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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.
 Keywords
Bessel`s inequality;Gruss` inequality;inner product;Lebesgue integral;
 Language
English
 Cited by
 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 crossref(new window)

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