Non-Newtonian Approach to C-Algebras

TL;DR

This paper introduces a non-Newtonian framework for C-algebras, generalizing classical results and demonstrating the effectiveness of the new approach through examples.

Contribution

It extends classical C-algebra theory to a non-Newtonian setting, providing generalized results and new insights.

Findings

Generalization of classical C-algebra results to non-Newtonian context

Illustrative examples demonstrating the effectiveness of the new approach

Stronger results than existing literature when using identity functions

Abstract

In this paper, we study the non-Newtonian version of C-algebras. Further, we generalize some results which hold for the classical C-algebras. We also discuss some illustrative examples to show accuracy and effectiveness of the new findings. If we take the identity function I instead of the generators {\alpha} and {\beta} in the construction of the set C(N), then non-Newtonian C-algebras turn into the classical C-algebras, so our results are stronger than some knowledge and facts in the most existing literature.