Compare the characteristics of two different smoothing splines

Consider two curves called hat$(g{)}_1$ and hat$(g{)}_2$ are as follows:

hat$(g{)}_1=argmi{n}_g({\displaystyle \underset{i=1}{\overset{n}{}}}(y_i-g(x_i){)}^2+{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}[g^{(3)}(x){]}^2)$

hat$(g{)}_2=argmi{n}_g({\displaystyle \underset{i=1}{\overset{n}{}}}(y_i-g(x_i){)}^2+{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}[g^{(4)}(x){]}^2)$

where $g^{(m)}$ represents the $m^{th}$ derivative of $g.$

As $,$ which function $($ hat$(g_1)$ or hat$(g_2))$ will have the smaller training RSS$?$