Entire Four-Dimensional Summation Methods

Year 2025, Volume: 13 Issue: 2, 270 - 277, 31.10.2025

Fatih Nuray , Richard F. Patterson

https://izlik.org/JA55KA25NM

Abstract

In this study, we establish the necessary and sufficient conditions for a four-dimensional matrix to map entire double-indexed sequences onto themselves, referring to such transformations as entire methods. Furthermore, we present a theorem addressing the consistency of these entire summation methods.

Keywords

Double sequence , P-limit , four-dimensional summability method , entire double-indexed sequence

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