### Abstract

We study Minkoivski's inequality D_{a b}(x_{1} +x_{2},y_{1}+y_{2}) ≤ D_{a b}(x_{1},y_{i}) +D_{a b}(x_{2},y_{2}) (x_{1},x_{2},y_{1},y_{2} ∈ ℝ_{+}) and its reverse where D_{a b}, is the difference mean introduced by Stolarsky. We give necessary and sufficient conditions (concerning the parameters a, b) for the inequality above (and for its reverse) to hold.

Original language | English |
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Pages (from-to) | 779-789 |

Number of pages | 11 |

Journal | Proceedings of the American Mathematical Society |

Volume | 126 |

Issue number | 3 |

Publication status | Published - 1998 |

### Fingerprint

### Keywords

- Difference means
- Minkowski's inequality

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*126*(3), 779-789.

**Minkowski's inequality for two variable difference means.** / Losonczi, László; Páles, Z.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 126, no. 3, pp. 779-789.

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TY - JOUR

T1 - Minkowski's inequality for two variable difference means

AU - Losonczi, László

AU - Páles, Z.

PY - 1998

Y1 - 1998

N2 - We study Minkoivski's inequality Da b(x1 +x2,y1+y2) ≤ Da b(x1,yi) +Da b(x2,y2) (x1,x2,y1,y2 ∈ ℝ+) and its reverse where Da b, is the difference mean introduced by Stolarsky. We give necessary and sufficient conditions (concerning the parameters a, b) for the inequality above (and for its reverse) to hold.

AB - We study Minkoivski's inequality Da b(x1 +x2,y1+y2) ≤ Da b(x1,yi) +Da b(x2,y2) (x1,x2,y1,y2 ∈ ℝ+) and its reverse where Da b, is the difference mean introduced by Stolarsky. We give necessary and sufficient conditions (concerning the parameters a, b) for the inequality above (and for its reverse) to hold.

KW - Difference means

KW - Minkowski's inequality

UR - http://www.scopus.com/inward/record.url?scp=21944445017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21944445017&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21944445017

VL - 126

SP - 779

EP - 789

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -