Some generalized geometric constants for discrete Morrey spaces

Abstract

In this paper, we calculate four geometric constants for discrete Morrey spaces. The constants are generalized von Neumann-Jordan constant, modified von Neumann-Jordan constant, von Neumann-Jordan type constant, and Zb\"{a}ganu constant. The four constants measure uniformly nonsquareness of the above spaces. We obtain that the value of each of the four constants for the above spaces is two, which means that the spaces are NOT uniformly nonsquare.