논문KCI 등재
On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
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A new counterpart of Bessel’s inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr¨uss inequality for determinantal integral inequalities are also provided.
Abstract
A new counterpart of Bessel’s inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr¨uss inequality for determinantal integral inequalities are also provided.
참고문헌 (5)
- Y. J. Cho, "Theory of 2-Inner Product Spaces" (2001), Nova Science Publishers, Inc., New York
- Y. J. Cho, "On Gram's determinant in 2-inner product spaces", J. Korean Math. Soc, 38(6), pp.1125~1156 (2001)
- S. S. Dragomir, "A reverse of Bessel's inequality in 2-lnnerproduct spaces and some Gruss type relatedresults with applications", Journal of Applied Mathematics and Informatics, 20(1-2), pp.279~292 (2006), 한국전산응용수학회
- D. S. Mitrinović, "Classical and New Inequalities in Analysis" (1993), Kluwer Academic Publishers
- R. W. Freese, "Geometry of Linear 2-Normed Spaces" (2001), Nova Science Publishers, Inc., New York
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