Geodesic
Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials
Problemy analiza, Tome 13 (2024) no. 1, pp. 3-23

Voir la notice de l'article provenant de la source Math-Net.Ru

The starting point in the theory of differential inequalities for polynomials is the book "Investigation of aqueous solutions by specific gravity" by D. I. Mendeleev. In this work, he dealt not only with chemical, but also mathematical problems. The question raised in this book led to appearance of a large number of works on various types of differential inequalities for polynomials. In our paper, we obtain Smirnov and Bernstein-type inequalities that use higher-order coefficients and free terms of polynomials.
Keywords: differential inequality, higher-order coefficient, free term.
Mots-clés : polynomial 
@article{PA_2024_13_1_a0,
     author = {E. G. Kompaneets and L. G. Zybina},
     title = {Smirnov and {Bernstein-type} inequalities, taking into account higher-order coefficients and free terms of polynomials},
     journal = {Problemy analiza},
     pages = {3--23},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2024_13_1_a0/}
}
TY  - JOUR
AU  - E. G. Kompaneets
AU  - L. G. Zybina
TI  - Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials
JO  - Problemy analiza
PY  - 2024
SP  - 3
EP  - 23
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PA_2024_13_1_a0/
LA  - en
ID  - PA_2024_13_1_a0
ER  - 
%0 Journal Article
%A E. G. Kompaneets
%A L. G. Zybina
%T Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials
%J Problemy analiza
%D 2024
%P 3-23
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PA_2024_13_1_a0/
%G en
%F PA_2024_13_1_a0
E. G. Kompaneets; L. G. Zybina. Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials. Problemy analiza, Tome 13 (2024) no. 1, pp. 3-23. http://geodesic.mathdoc.fr/item/PA_2024_13_1_a0/