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
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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},
     year = {2021},
     volume = {505},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a5/}
}
TY  - JOUR
AU  - Ya. S. Golikova
TI  - Calculation of constant values in pseudometric lemma at one-dimension method of smooth triangular functions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2021
SP  - 87
EP  - 93
VL  - 505
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a5/
LA  - ru
ID  - ZNSL_2021_505_a5
ER  - 
%0 Journal Article
%A Ya. S. Golikova
%T Calculation of constant values in pseudometric lemma at one-dimension method of smooth triangular functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2021
%P 87-93
%V 505
%U http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a5/
%G ru
%F ZNSL_2021_505_a5
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/

[1] T. V. Arak, A. Yu. Zaitsev, “Ravnomernye predelnye teoremy dlya summ nezavisimykh sluchainykh velichin”, Tr. MIAN SSSR, 174, 1986, 3–214 | MR

[2] A. Yu. Zaitsev, “K mnogomernomu obobscheniyu metoda treugolnykh funktsii”, Zap. nauchn. semin. LOMI, 158, 1987, 81–104 | Zbl

[3] Ya. S. Golikova, “Vychislenie konstant v lemme o funktsiyakh w(x) i g(t) v metode gladkikh treugolnykh funktsii”, Zap. nauchn. semin. POMI, 495, 2020, 135–146 | MR