논문KCI 등재
A counterpart of Bessel’s inequality in inner product spaces and some gr\＂uss type related results
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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 Gr\"{u}ss type inequalities are also provided.
참고문헌 (2)
- "A generalization of Gr"{uss's inequality ininner product spaces and applications}", 237(1), pp.74~82 (1999)
- "A new generalization of Gr", 6(4), pp.617~623 (2003)
관련 논문AI추천
Some New Results Related to Bessel and Gr＂{u}ss Inequalities in 2-Inner Product Spaces and ApplicationsS.S. Dragomir대한수학회 · 대한수학회보2005 · 제42권 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 제2호Some companions of Gr\＂{u}ssinequality in $2$-inner product spaces andapplications for determinantal integral inequalities김성식, 조열제, R.W. Freese, S.S. Dragomir대한수학회 · 대한수학회논문집2005 · 제20권 제3호A 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 제4호BOHR’S INEQUALITIES IN n-INNER PRODUCT SPACES조열제, D. D. Zhao, J. Peˇcari´c, W. S. Cheung한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호
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