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Information Journal Paper

Title

REVERSE OF THE GRAND FURUTA INEQUALITY AND ITS APPLICATIONS

Pages

  23-30

Abstract

 We shall give a NORM INEQUALITY equivalent to the FURUTA INEQUALITY/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">GRAND FURUTA INEQUALITY, and moreover show its reverse as follows: Let A and B be positiveoperators such that 0 < m £B £ M for some scalars 0 < m < M andh := M/m > 1. Then||A1/2 {A_t/2 (A -r/2B (r-t){(p-t)a+r/1-t+rAr/2}1/a A-t/2}1/PA1/2 || £ K(hr-t , (p-t) s+r/1-t+r) 1/ps || A 1-t+r/2 B r-t A 1-t+r/2 || (p-t)a+r/pa (1-t+r) for 0 £ t £  1, p ³ 1, s ³1 and r ³ t ³0, where K(h, p) is the generalized Kantorovich constant. As applications, we consider reverses related to the Ando-Hiai inequality.

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    APA: Copy

    FUJII, M., NAKAMOTO, R., & TOMINAGA, M.. (2008). REVERSE OF THE GRAND FURUTA INEQUALITY AND ITS APPLICATIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2(2), 23-30. SID. https://sid.ir/paper/316873/en

    Vancouver: Copy

    FUJII M., NAKAMOTO R., TOMINAGA M.. REVERSE OF THE GRAND FURUTA INEQUALITY AND ITS APPLICATIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2008;2(2):23-30. Available from: https://sid.ir/paper/316873/en

    IEEE: Copy

    M. FUJII, R. NAKAMOTO, and M. TOMINAGA, “REVERSE OF THE GRAND FURUTA INEQUALITY AND ITS APPLICATIONS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 2, no. 2, pp. 23–30, 2008, [Online]. Available: https://sid.ir/paper/316873/en

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    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
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