• Title/Summary/Keyword: determinantal inequalities

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SOME NEW RESULTS RELATED TO BESSEL AND GRUSS INEQUALITIES IN 2-INNER PRODUCT SPACES AND APPLICATIONS

  • DRAGOMIR S.S.;CHO, Y.J.;KIM, S.S.
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.591-608
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    • 2005
  • Some new reverses of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces are pointed out. Applications for some Gruss type inequalities and for determinantal integral inequalities are given as well.

On Bessel's and Grüss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications

  • Dragomir, Sever Silverstru;Cho, Yeol-Je;Kim, Seong-Sik;Kim, Young-Ho
    • Kyungpook Mathematical Journal
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    • v.48 no.2
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    • pp.207-222
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    • 2008
  • A new counterpart of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr$\"{u}$ss inequality for determinantal integral inequalities are also provided.