Wenliang Gan - School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China. Donghe Pei - School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China. Qiang Li - School of Science, Qiqihar University, Qiqihar 161006, P. R. China.
The finite determinacy of smooth function germ is the key in approximating the nonlinear function with infinite terms by its finite terms. In this paper, we discuss the inclusion relations with a new equivalent form for function germs in orbit tangent spaces, and get an improved form of the finite \(k\)-determinacy of smooth function germ. As an application, the methods in judging the right equivalency of Whitney function family with codimension 8 are presented.
Wenliang Gan, Donghe Pei, Qiang Li, Properties and application of smooth function germs of orbit tangent space, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6041--6047
Gan Wenliang, Pei Donghe, Li Qiang, Properties and application of smooth function germs of orbit tangent space. J. Nonlinear Sci. Appl. (2016); 9(12):6041--6047
Gan, Wenliang, Pei, Donghe, Li, Qiang. "Properties and application of smooth function germs of orbit tangent space." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6041--6047
