{"title":"Refined inequalities for the distance in metric spaces","authors":"S. Dragomir","doi":"10.31926/but.mif.2022.2.64.2.5","DOIUrl":null,"url":null,"abstract":"In this note we prove among others that\n∑1≤i<j≤npipjdS(xi,xj)≤ {2s−1 infx∈X [ Σ k=1n pk (1 − pk) ds (xk, x)], s ≥ 1; infx∈X [ Σ k=1n pk (1 − pk) ds (xk, x)] , 0 < s < 1, where (X, d) is a metric space, xi ∈ X, pi ≥ 0, i ∈ {1, ..., n} with Σ i=1n pi = 1 and s > 0. This generalizes and improves some early upper bounds for the sum Σ1≤i<j≤n pipjd (xi, xj) .","PeriodicalId":53266,"journal":{"name":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2022.2.64.2.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this note we prove among others that
∑1≤i 0. This generalizes and improves some early upper bounds for the sum Σ1≤i
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
