On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
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Dragomir, Sever S, Cho, Yeol Je, Kim, Seong Sik and Kim, Young-Ho (2008) On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications. Kyungpook Mathematical Journal, 48 (2). pp. 207-222. ISSN 1225-6951
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.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/3647 |
| Official URL | http://kmj.knu.ac.kr/ |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0101 Pure Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID15174. Bessel’s inequality, Gr¨uss inequality, 2-inner product spaces, Lebesgue integral, Synchronous functions. |
| Citations in Scopus | 1 - View on Scopus |
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