Calculation of Constants in Lemma on Pseudometric for One-Dimensional Method of Smooth Triangular Functions

The one-dimension method of smooth triangular functions is considered. The dependence of the constant on the input parameters of the lemma, which allows to reduce the problem of estimating ρ_h(F, G) to the problem of estimating \({\rho }_{h,\tau }^{\left(J\right)}\) ${\rho }_{h,\tau }^{\left(J\right)}$ (F,G) is established.