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Volumn 9, Issue 4, 2006, Pages 749-759

Bounds for the ratio and difference between parallel sum and series via Mond-Pečarić method

Author keywords

Kantorovich constant; Kantorovich inequality; Operator connection; Operator inequality; Parallel sum; Positive linear map and Mond Pe ari method

Indexed keywords


EID: 33751272700     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-09-66     Document Type: Article
Times cited : (19)

References (9)
  • 1
    • 0014522689 scopus 로고
    • Series and parallel addition of matrices
    • W. N. ANDERSON, R. J. DUFFIN, Series and parallel addition of matrices, J. Math. Anal. Appl., 26, (1969), 576-594.
    • (1969) J. Math. Anal. Appl. , vol.26 , pp. 576-594
    • Anderson, W.N.1    Duffin, R.J.2
  • 3
    • 0001079995 scopus 로고
    • Concavity of certain maps on positive definite matrices and applications to Hadamard products
    • T. ANDO, Concavity of certain maps on positive definite matrices and applications to Hadamard products, Linear Algebra Appl., 26, (1979), 203-241.
    • (1979) Linear Algebra Appl. , vol.26 , pp. 203-241
    • Ando, T.1
  • 6
    • 0002572659 scopus 로고
    • Functional analysis and applied mathematics
    • in Russian
    • L. V. KANTOROVICH, Functional analysis and applied mathematics (in Russian), Uspechi Mat. Nauk., 3, (1948), 89-185.
    • (1948) Uspechi Mat. Nauk. , vol.3 , pp. 89-185
    • Kantorovich, L.V.1
  • 7
    • 0000472839 scopus 로고
    • Means of positive linear operators
    • F. KUBO, T. ANDO, Means of positive linear operators, Math. Ann. 246, (1980), 205-224.
    • (1980) Math. Ann. , vol.246 , pp. 205-224
    • Kubo, F.1    Ando, T.2
  • 8
    • 33751289916 scopus 로고
    • Converses of Jensen's inequality for linear maps of operators
    • B. MOND, J. E. PEČARIĆ, Converses of Jensen's inequality for linear maps of operators, Analele Universitǎţii din Timişoara, 31, (1993), 223-228.
    • (1993) Analele Universitǎţii din Timişoara , vol.31 , pp. 223-228
    • Mond, B.1    Pečarić, J.E.2
  • 9
    • 0041307912 scopus 로고    scopus 로고
    • Chaotic order among means of positive operators
    • J. E. PEČARIĆ, J. MIĆIĆ, Chaotic order among means of positive operators. Sci. Math. Japon. Online, 7, (2002), 97-106.
    • (2002) Sci. Math. Japon. Online , vol.7 , pp. 97-106
    • Pečarić, J.E.1    Mićić, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.