ON GENERALIZED TAXICAB METRIC IN THREE DIMENSIONAL SPACE

ÇOLAKOĞLU, HARUN

doi:10.31801/cfsuasmas.530441

ON GENERALIZED TAXICAB METRIC IN THREE DIMENSIONAL SPACE

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.2, ss.1359-1369, 2019 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 68 Sayı: 2
Basım Tarihi: 2019
Doi Numarası: 10.31801/cfsuasmas.530441
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.1359-1369
Anahtar Kelimeler: Metric, taxicab distance, generalized taxicab distance, isometry
Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we define the generalized taxicab distance function in three dimensional space, which includes the taxicab distance function as a special case, and we show that three dimensional generalized taxicab distance function determines a metric. Then we give some properties of three dimensional generalized taxicab metric, and determine Euclidean isometries of the space preserving the generalized taxicab metric.