Some basic properties of G-Calculus and its applications in numerical analysis

Abstract

Objective of this paper is to introduce a new type of calculus which will be called G-Calculus based on non-Newtonian calculus introduced by Grossman and Katz \cite{GrossmanKatz}. The basic difference between geometric calculus defined by Grossman and Katz and the present G-calculus is that Grossman took the values of the argument as $x,x+h,x+2h,...$ but here in G-calculus we take the values as $x,x\oplus h,x\oplus e^2\odot h,x\oplus e^3\odot h....$ This calculus will have great deal with numerical analysis which are discussed in the last section of this paper.

15 pages and 3 figures

Cited by in corpus (1)

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