Geodesic
Calculation of constant values in pseudometric lemma at one-dimension method of smooth triangular functions
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 87-93

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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 $\rho^{(J)}_{h,\tau}(F,G)$. 
@article{ZNSL_2021_505_a5,
     author = {Ya. S. Golikova},
     title = {Calculation of constant values in pseudometric lemma at one-dimension method of smooth triangular functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {87--93},
     publisher = {mathdoc},
     volume = {505},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a5/}
}
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Ya. S. Golikova. Calculation of constant values in pseudometric lemma at one-dimension method of smooth triangular functions. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 87-93. http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a5/