### Abstract

The author proposed a distance on R^{n} in [1] which measures improvement of social welfare. Continuity of the distance with respect to the Euclidean metric of R^{n} is proved in this note, and conversely, the Euclidean metric is continuous with respect to our distance on some subset of R^{n}.

Original language | English |
---|---|

Pages (from-to) | 1591-1595 |

Number of pages | 5 |

Journal | Taiwanese Journal of Mathematics |

Volume | 12 |

Issue number | 6 |

Publication status | Published - 2008 Sep |

### Fingerprint

### Keywords

- Continuity
- Distance
- Lorenz dominance

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Taiwanese Journal of Mathematics*,

*12*(6), 1591-1595.

**Continuity of distance related to income comparisons.** / Komiya, Hidetoshi.

Research output: Contribution to journal › Article

*Taiwanese Journal of Mathematics*, vol. 12, no. 6, pp. 1591-1595.

}

TY - JOUR

T1 - Continuity of distance related to income comparisons

AU - Komiya, Hidetoshi

PY - 2008/9

Y1 - 2008/9

N2 - The author proposed a distance on Rn in [1] which measures improvement of social welfare. Continuity of the distance with respect to the Euclidean metric of Rn is proved in this note, and conversely, the Euclidean metric is continuous with respect to our distance on some subset of Rn.

AB - The author proposed a distance on Rn in [1] which measures improvement of social welfare. Continuity of the distance with respect to the Euclidean metric of Rn is proved in this note, and conversely, the Euclidean metric is continuous with respect to our distance on some subset of Rn.

KW - Continuity

KW - Distance

KW - Lorenz dominance

UR - http://www.scopus.com/inward/record.url?scp=74049135700&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74049135700&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:74049135700

VL - 12

SP - 1591

EP - 1595

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

SN - 1027-5487

IS - 6

ER -