A Theorem On Summability Factors for the Natarajan Method in Ultrametric Fields
Natarajan PN
Published on: 2023-01-23
Abstract
In this paper, ???? denotes a complete, non-trivially valued, non-archimedean (or ultra-metric) field.
Double sequences, double series and 4-dimensional infinite matrices have entries in ????. We prove a
theorem on summability factors for the (????, ????????,????) (or the Natarajan) method.
Keywords
Non-archimedean (or ultrametric) field; Double sequences; Double series; 4-dimensional infinite matrix; (????, ????????,????) (or Natarajan) method; Summability (or convergence) factor.Abstract
In this paper, ???? denotes a complete, non-trivially valued, non-archimedean (or ultra-metric) field.
Double sequences, double series and 4-dimensional infinite matrices have entries in ????. We prove a
theorem on summability factors for the (????, ????????,????) (or the Natarajan) method.