Geodesic
Generalised distances of sequences II: B-distances with weight sequences
Filomat, Tome 33 (2019) no. 18, p. 5803

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we investigate the weighted B-distances of infinite sequences. The general neighbourhood sequences were introduced for measuring distances in digital geometry (Z n), and the theory was recently extended for application to sequences. By assigning various weights to the elements of the sequences the concept is further generalized. An algorithm is presented which provides a shortest path between two sequences. Formula is also provided to calculate the weighted B-distance of any two sequences with a neighbourhood sequence B and a weight sequence. There are several neighbourhood sequences, which do not generate metrics. We prove a necessary and sufficient condition for a B-distance to define a generalized metric space above the sequences. Moreover, our results can be applied if the elements of the sequences used with various weights. In case of weight functions used B-distances we present also the metric conditions
DOI : 10.2298/FIL1918803N
Classification : 11Y55, 40A05, 52C07, 68U10
Keywords: sequences, neighbourhood sequences, distance, metric space, geometry of sequences, weight sequences 
Benedek Nagy. Generalised distances of sequences II: B-distances with weight sequences. Filomat, Tome 33 (2019) no. 18, p. 5803 . doi: 10.2298/FIL1918803N
@article{10_2298_FIL1918803N,
     author = {Benedek Nagy},
     title = {Generalised distances of sequences {II:} {B-distances} with weight sequences},
     journal = {Filomat},
     pages = {5803 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918803N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918803N/}
}
TY  - JOUR
AU  - Benedek Nagy
TI  - Generalised distances of sequences II: B-distances with weight sequences
JO  - Filomat
PY  - 2019
SP  - 5803 
VL  - 33
IS  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL1918803N/
DO  - 10.2298/FIL1918803N
LA  - en
ID  - 10_2298_FIL1918803N
ER  - 
%0 Journal Article
%A Benedek Nagy
%T Generalised distances of sequences II: B-distances with weight sequences
%J Filomat
%D 2019
%P 5803 
%V 33
%N 18
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL1918803N/
%R 10.2298/FIL1918803N
%G en
%F 10_2298_FIL1918803N

Cité par Sources :