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
관련 논문AI추천
Some companions of Gr\＂{u}ssinequality in $2$-inner product spaces andapplications for determinantal integral inequalities김성식, 조열제, R.W. Freese, S.S. Dragomir대한수학회 · 대한수학회논문집2005 · 제20권 제3호Some New Results Related to Bessel and Gr＂{u}ss Inequalities in 2-Inner Product Spaces and ApplicationsS.S. Dragomir대한수학회 · 대한수학회보2005 · 제42권 제3호A counterpart of Bessel’s inequality in inner product spaces and some gr\＂uss type related resultsSever S. Dragomir대한수학회 · 대한수학회보2006 · 제43권 제1호A Refinement of Gr%\＂{u}ss Type Inequality for the Bochner Integral of Vector-valued Functions in Hilbert Spaces and ApplicationsConstantin Bu\c{s}e, John Roumeliotis, Pietro Cerone, Sever Silvestru Dragomir대한수학회 · 대한수학회지2006 · 제43권 제5호Inequalities of Hlawka's Type in $n$-inner Product spacesJ. Pe\v cari\'c, M. Mati\, Y. J. Cho대한수학회 · 대한수학회논문집2002 · 제17권 제4호Ostrowski type inequality for absolutely continuous functions on segments in linear spacesEder Kikianty, Pietro Cerone, Sever S. Dragomir대한수학회 · 대한수학회보2008 · 제45권 제4호
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