<p>In this paper, we compute several geometric constants for mixed Morrey spaces and mixed Morrey double-sequence spaces, specifically generalized Von Neumann-Jordan constant, modified Von Neumann-Jordan constants, and Zbáganu constant. For the calculation of these constants, we construct two functions of unit norm so that the upper bound of these constants is attained. In addition, we use an inequality involving these constants and Von Neumann-Jordan constant. Our results can be seen as some extensions of the previous results about geometric constants for Morrey spaces and discrete Morrey spaces.</p>

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Some geometric constants for mixed morrey spaces and their discrete versions

  • Ifronika,
  • Hendra Gunawan,
  • Janny Lindiarni

摘要

In this paper, we compute several geometric constants for mixed Morrey spaces and mixed Morrey double-sequence spaces, specifically generalized Von Neumann-Jordan constant, modified Von Neumann-Jordan constants, and Zbáganu constant. For the calculation of these constants, we construct two functions of unit norm so that the upper bound of these constants is attained. In addition, we use an inequality involving these constants and Von Neumann-Jordan constant. Our results can be seen as some extensions of the previous results about geometric constants for Morrey spaces and discrete Morrey spaces.