Calculation of constant values in pseudometric lemma at one-dimension method of smooth triangular functions

In this paper, we consider the one-dimension method of smooth triangular functions. We obtain the dependence of the constant on the input parameters of the lemma, which allows us to reduce the problem of estimating $\rho_h(F,G)$ to the problem of estimating $\rho^{(J)}_{h,\tau}(F,G)$.