UPPER ESTIMATIONS ON INTEGRAL OPERATOR MEANS

• Fujii Jun Ichi

  Department of Art and Sciences (Information Science), Osaka Kyoiku University

• Fujii Masatoshi

  Department of Mathematics, Osaka Kyoiku University

Abstract

For an interpolational path of symmetric operator means, one of the author introduced the integral mean and showed that it is not less than the original mean, which is a generalization of the fact that the logarithmic operator mean is not less than the geometric operator mean. In this paper, we show estimations for the integral mean from the above.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 75 (2), 217-222, 2012

  International Society for Mathematical Sciences

Keywords

• Operator mean
• logarithmic mean
• operator inequality
• interpolation

Details

• CRID: 1390001288146845184
• NII Article ID: 130007663392
• DOI: 10.32219/isms.75.2_217
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed