Some new results related to Bessel and Gruss inequalities in 2-inner product spaces and applications

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Dragomir, Sever S, Cho, Yeol Je and Kim, Seong Sik (2005) Some new results related to Bessel and Gruss inequalities in 2-inner product spaces and applications. Bulletin of the Korean Mathematical Society, 42 (3). pp. 591-608. ISSN 1015-8634

Abstract

Some new reverses of Bessel's inequality for orthonor- mal families in real or complex 2-inner product spaces are pointed out. Applications for some GrÄuss type inequalities and for deter-minantal integral inequalities are given as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/2745
Official URL http://www.mathnet.or.kr/mathnet/kms_tex/982947.pd...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID9441: Bessel's inequality, Gruss' inequality, 2-inner product, Lebesgue integral, synchronous functions
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