Estimates of the modular-type operator norm of the general geometric mean operator

نویسندگان

  • Chang-Pao Chen
  • Jin-Wen Lan
چکیده

In this paper, the modular-type operator norm of the general geometric mean operator over spherical cones is investigated. We give two applications of a new limit process, introduced by the present authors, to the establishment of Pólya-Knopp-type inequalities. We not only partially generalize the sufficient parts of Persson-Stepanov’s and Wedestig’s results, but we also provide new proofs to these results.

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تاریخ انتشار 2015