2018/02/09 by Yaying, Taja, Hazarika, Bipan
#46A11 #FOS: Mathematics #General Mathematics (math.GM) #Primary: 26A06 #Secondary: 46A45
paper · doi:10.48550/arxiv.1802.04144
Recently Ruckle \citeRuckleArithmeticalSummability introduced the theory of arithmetical summability suggested by the sum ∑k|mf(k) as k ranges over the divisors of m including 1 and m . Following Ruckle \citeRuckleArithmeticalSummability we construct the sequence space AS(G) and AC(G) of arithmetic summable and arithmetic convergent sequences in the sense of geometric calculus and derive interesting results in the geometric field.