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Linear Algebra and Its Applications
Volumn 416, Issue 2-3, 2006, Pages 688-695
An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias
Author keywords

Arithmetic geometric means inequality; Geometric mean of n operators; Kantorovich inequality; Specht's ratio
Indexed keywords

ESTIMATION; GEOMETRY; LINEAR ALGEBRA; NUMERICAL METHODS;
EID: 33646933575     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.12.013     Document Type: Article
Times cited : (24)
References (12)
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    • Fujii M., Izumino S., Nakamoto R., and Seo Y. Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities. Nihonkai Math. J. 8 (1997) 117-122
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    • Fujii, M.1    Izumino, S.2    Nakamoto, R.3    Seo, Y.4
  • 4
    • 0043208861 scopus 로고    scopus 로고
    • Specht's ratio S(1) can be expressed by Kantorovich constant K(p): S(1) = exp K′(1) and its applications
    • Furuta T. Specht's ratio S(1) can be expressed by Kantorovich constant K(p): S(1) = exp K′(1) and its applications. Math. Inequal. Appl. 6 (2003) 521-530
    • (2003) Math. Inequal. Appl. , vol.6 , pp. 521-530
    • Furuta, T.1
  • 5
    • 33646897547 scopus 로고    scopus 로고
    • T. Furuta, J. Mićić, J.E. Pečarić, Y. Seo, Mond-Pečarić method in operator inequalities, Monographs in Inequalities 1, Element, Zagreb, 2005.
  • 6
    • 84968476555 scopus 로고
    • On a generalization of an inequality of L.V. Kantorovich
    • Greub W., and Rheinboldt W. On a generalization of an inequality of L.V. Kantorovich. Proc. Amer. Math. Soc. 10 (1959) 407-415
    • (1959) Proc. Amer. Math. Soc. , vol.10 , pp. 407-415
    • Greub, W.1    Rheinboldt, W.2
  • 7
    • 0002572659 scopus 로고
    • Functional analysis and applied mathematics
    • (in Russian)
    • Kantorovich L.V. Functional analysis and applied mathematics. (in Russian). Uspekhi Mat. Nauk. 3 (1948) 89-185
    • (1948) Uspekhi Mat. Nauk. , vol.3 , pp. 89-185
    • Kantorovich, L.V.1
  • 8
    • 0000472839 scopus 로고
    • Means of positive linear operators
    • Kubo F., and Ando T. Means of positive linear operators. Math. Ann. 246 (1980) 883-886
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    • Kubo, F.1    Ando, T.2
  • 9
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    • Convex inequalities in Hilbert space
    • Mond B., and Pečarić J.E. Convex inequalities in Hilbert space. Houston J. Math. 19 (1993) 405-420
    • (1993) Houston J. Math. , vol.19 , pp. 405-420
    • Mond, B.1    Pečarić, J.E.2
  • 10
    • 0041307914 scopus 로고
    • Convex inequalities for several self-adjoint operators on a Hilbert space
    • Mond B., and Pečarić J.E. Convex inequalities for several self-adjoint operators on a Hilbert space. Indian J. Math. 35 (1993) 121-135
    • (1993) Indian J. Math. , vol.35 , pp. 121-135
    • Mond, B.1    Pečarić, J.E.2
  • 11
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    • Zur theorie der elementaren mittel
    • Specht W. Zur theorie der elementaren mittel. Math. Z. 74 (1960) 91-98
    • (1960) Math. Z. , vol.74 , pp. 91-98
    • Specht, W.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.