The fundamental theorem of calculus for Lipschitz functions

Mathematical Communications

Zlobec, Sanjo¹ 

[1] McGill University, Department of Mathematics and Statistics,Quebec, Canada

关键词: Lipschitz function;    decomposition of functions;    convexification;    fundamental theorem of calculus;    definite integral;    ODE;    Newtons second;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

EverysmoothfunctioninseveralvariableswithaLipschitzderivative,whenconsideredonacompactconvexset,isthedifferenceofaconvexfunctionandaconvexquadraticfunction.Weusethisresulttodecomposeanti-derivatives...

【 授权许可】

Unknown