ss inequality;2-inner product spaces;Lebesgue integral;Synchronous functions;"/> ss inequality;2-inner product spaces;Lebesgue integral;Synchronous functions;"/> On Bessel's and Grüss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications | Korea Science
JOURNAL BROWSE
Search
Advanced SearchSearch Tips
On Bessel's and Grüss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Kyungpook mathematical journal
  • Volume 48, Issue 2,  2008, pp.207-222
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2008.48.2.207
 Title & Authors
On Bessel's and Grüss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
Dragomir, Sever Silverstru; Cho, Yeol-Je; Kim, Seong-Sik; Kim, Young-Ho;
  PDF(new window)
 Abstract
A new counterpart of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Grss inequality for determinantal integral inequalities are also provided.
 Keywords
Bessel's inequality;Grss inequality;2-inner product spaces;Lebesgue integral;Synchronous functions;
 Language
English
 Cited by
 References
1.
Y. J. Cho, 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 Grams determinant in 2-inner product spaces, J. Korean Math. Soc., 38(6)(2001), pp. 1125-1156.

3.
S. S. Dragomir, Y. J. Cho, S. S. Kim and J. Roumeliotis, A reverse of Bessel's inequality in 2-inner product spaces and some Gr¨uss type related results with applications, J. Appl. Math. & Computing, 20(1-2)(2006), pp. 279-292. crossref(new window)

4.
D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, 1993.

5.
R. W. Freese and Y. J. Cho, Geometry of Linear 2-Normed Spaces, Nova Science Publishers, Inc., New York, 2001.