arXiv subjects

Hairur Rahman

Publications and source records attributed to Hairur Rahman.

2 recordsLinked to original sources

arXiv2021

Some generalized geometric constants for discrete Morrey spaces

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 Zbäganu 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.

math.FA↗

arXiv2020

Generalized Von Neumann-Jordan Constant for Morrey Spaces and Small Morrey Spaces

In this paper we calculate some geometric constants for Morrey spaces and small Morrey spaces, namely generalized Von Neumann-Jordan constant, modified Von Neumann-Jordan constants, and Zbáganu constant. All these constants measure the uniformly nonsquareness of the spaces. We obtain that their values are the same as the value of Von Neumann-Jordan constant for Morrey spaces and small Morrey spaces.

math.FA↗