Encounter to the additive property of local function

TL;DR

This paper revises and extends existing results related to the additive property of local functions, providing updated theoretical insights.

Contribution

It offers modified versions of previous theorems on the additive property of local functions, enhancing the theoretical framework.

Findings

Revised theoretical results on local function properties

Extended the applicability of additive property concepts

Clarified conditions under which the additive property holds

Abstract

Through this paper we will modify some of the results of [1], [5], [15], [28], [29], [31], [32] and consequently give the modified results.