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Some New Results Related to Bessel and Gr＂{u}ss Inequalities in 2-Inner Product Spaces and Applications
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Abstract
Some new reverses of Bessel's inequality for orthonormal families in real orcomplex 2-inner product spaces are pointed out. Applications for some Gr"{u}%ss type inequalities and for determinantal integral inequalities are given as well.
참고문헌 (5)
- "Theory of2-inner product spaces" (2001), Nova Science Publishers Inc.
- "On Gram'sdeterminant in 2-inner product spaces", 6, pp.1125~1156 (2001)
- "On Bessel'sand Gruss' inequalities for orthonormal families in 2-innerproduct spaces and applications Preprint on line", 2003, ~
- "A reverse of Bessel's inequality in 2-inner product spacesand some Gr uss type related results with appli-cations}" (2003)
- "Geometry of linear 2-normedspaces" (2001), Nova Science Publishers Inc.
관련 논문AI추천
A counterpart of Bessel’s inequality in inner product spaces and some gr\＂uss type related resultsSever S. Dragomir대한수학회 · 대한수학회보2006 · 제43권 제1호Some companions of Gr\＂{u}ssinequality in $2$-inner product spaces andapplications for determinantal integral inequalities김성식, 조열제, R.W. Freese, S.S. Dragomir대한수학회 · 대한수학회논문집2005 · 제20권 제3호On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications김영호, 조열제, Seong Sik Kim, Sever Silverstru Dragomir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호A 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 제4호A Weighted Ostrowski Type Inequality for Functions with Values in Hilbert Spaces and ApplicationsS. S. Dragomir대한수학회 · 대한수학회지2003 · 제40권 제2호
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