non-Newtonian Field Research Articles

Arithmetic summable sequence space over non-Newtonian field

In this article, we introduce the sequence spaces AS(G) and AC(G) of arithmetic summable and arithmetic convergent sequences, respectively, suggested by the geometric sum as k ranges over the divisors of m. We further obtain an analogous of Mobius inversion formula in the sense of geometric calculus and give interesting results in the geometric field.