典型文献
Differentiability of Functions on Spheres and Criterions of Convexity
文献摘要：
Some basic concepts for functions defined on subsets of the unit sphere,such as the s-directional derivative,s-gradient and s-Gateaux and s-Frechet differentiability etc,are introduced and investigated.These concepts are different from the usual ones for functions defined on subsets of Euclidean spaces,however,the results obtained here are very similar.Then,as applications,we provide some criterions of s-convexity for functions defined on unit spheres which are improvements or refinements of some known results.
文献关键词：
中图分类号：
作者姓名：
CHEN Tingting;GUO Qi
作者机构：
Department of Mathematics,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China
文献出处：
引用格式：
[1]CHEN Tingting;GUO Qi-.Differentiability of Functions on Spheres and Criterions of Convexity)[J].武汉大学自然科学学报（英文版）,2022(04):273-280
A类：
Differentiability,Criterions,Gateaux,differentiability
B类：
Functions,Spheres,Convexity,Some,basic,concepts,functions,defined,subsets,unit,such,directional,derivative,gradient,Frechet,etc,are,introduced,investigated,These,from,usual,ones,Euclidean,spaces,however,results,obtained,very,similar,Then,applications,provide,some,criterions,convexity,spheres,which,improvements,refinements,known
AB值：
0.567312
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