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A Refinement of Gr%\＂{u}ss Type Inequality for the Bochner Integral of Vector-valued Functions in Hilbert Spaces and Applications
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Abstract
A refinement of Gr"{u}ss type inequality for the Bochner integral ofvector-valued functions in real or complex Hilbert spaces is given. Relatedresults are obtained. Application for finite Fourier transforms ofvector-valued functions and some particular inequalities are provided.
참고문헌 (6)
- "Ostrowski'sinequality for vector-valued functions of bounded semivariation andapplications", 31(2), pp.137~152 (2002)
- "A generalization of Gr"{uss' inequality ininner product spaces and applications}", 237(1), pp.74~82 (1999)
- "Integral Gr"{uss inequality for mappingswith values in Hilbert spaces and applications},", 38(6), pp.1261~1273 (2001)
- "Some Gr"{uss' type inequalities in innerproduct spaces}", 4(2) (2003)
- "Uber das maximum des absoluten Betrages von frac", pp.215~ (1935)
- "Error estimates onapproximating the finite Fourier Transform of complex-valued functions via apre-Gr "{uss inequality}", 7(2) (2004)
관련 논문AI추천
A Weighted Ostrowski Type Inequality for Functions with Values in Hilbert Spaces and ApplicationsS. S. Dragomir대한수학회 · 대한수학회지2003 · 제40권 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 counterpart of Bessel’s inequality in inner product spaces and some gr\＂uss type related resultsSever S. Dragomir대한수학회 · 대한수학회보2006 · 제43권 제1호Some 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 제2호Ostrowski type inequality for absolutely continuous functions on segments in linear spacesEder Kikianty, Pietro Cerone, Sever S. Dragomir대한수학회 · 대한수학회보2008 · 제45권 제4호
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