Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 747-752
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V. M. Shakhverdiev. Monotonicity conditions for a sequence of generalized polynomials of S. N. Bernshtein and A. O. Gel'fond. Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 747-752. http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a12/
@article{MZM_1969_5_6_a12,
author = {V. M. Shakhverdiev},
title = {Monotonicity conditions for a~sequence of generalized polynomials of {S.} {N.~Bernshtein} and {A.} {O.~Gel'fond}},
journal = {Matemati\v{c}eskie zametki},
pages = {747--752},
year = {1969},
volume = {5},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a12/}
}
TY - JOUR
AU - V. M. Shakhverdiev
TI - Monotonicity conditions for a sequence of generalized polynomials of S. N. Bernshtein and A. O. Gel'fond
JO - Matematičeskie zametki
PY - 1969
SP - 747
EP - 752
VL - 5
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a12/
LA - ru
ID - MZM_1969_5_6_a12
ER -
%0 Journal Article
%A V. M. Shakhverdiev
%T Monotonicity conditions for a sequence of generalized polynomials of S. N. Bernshtein and A. O. Gel'fond
%J Matematičeskie zametki
%D 1969
%P 747-752
%V 5
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a12/
%G ru
%F MZM_1969_5_6_a12
It is shown that the sequence of generalized polynomials of S. N. Bernshtein and A. O. Gel'fond, which corresponds to a function $f(x)$, is an increasing or decreasing sequence depending on the concavity or convexity of the function. Analogous results are given in the case of functions of two variables.
