Generalised distances of sequences I: $B$-distances

Miskolc Mathematical Notes

Benedek Nagy¹ 

[1]Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematics,

DOI  :  10.18514/MMN.2018.2058

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this paper, we investigate the B-distances of infinite sequences. For this purpose we use generalized neighbourhood sequences. The general neighbourhood sequences were introduced for measuring distances in digital geometry (Z^n). We extend their application to sequences, and present an algorithm which provides a shortest path between two sequences. We also present a formula to calculate the B-distance of any two sequences for a neighbourhood sequence B.We also investigate the concept of k-convergent sequences for k \in N, that concept is generally weaker than the convergence. We will use the term k-sequence which is a kind of generalization of the concept of 0-sequence. We also show some connection between the B-distances of sequences and the properties of their difference sequences.

【 授权许可】

CC BY