井冈山大学学报（自然科学版）2024，Vol.45Issue(2)：1-6,6.DOI:10.3969/j.issn.1674-8085.2024.02.001
矩形上一类全组合偏差极值问题
A CLASS OF TOTAL COMBINED DISTORTION EXTREMAL PROBLEM BETWEEN RECTANGLES
摘要
Abstract
The new definitions of total combined distortion and combined distortion between rectangles are proposed.The extremal problem of all homomorphic maps between rectangles that keeping vertices respectively in these two types of biases is studied.We use the Euler-Lagrange equation,the area length method and the mean inequality are used to prove and obtain that the affine mapping is the solution of extremal problem,which extends the main results obtained by Tang Ruyue.关键词
组合偏差/全组合偏差/极值问题/仿射映射/面积长度法Key words
combined distortion/total combined distortion/extremal problem/affine mapping/area length method分类
数理科学引用本文复制引用
钱香燕,邹庆玲,杨燕,冯小高..矩形上一类全组合偏差极值问题[J].井冈山大学学报（自然科学版）,2024,45(2):1-6,6.基金项目
国家自然科学基金项目(11701459) （11701459）
