Open AccessEstimation of deviation of continuous $2\pi$-periodic functions from corresponding trigonometric polynomials of S.N. Bernstein's type
Author(s) -
N.Ya. Yatsenko
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/247712
Subject(s) - trigonometric polynomial , mathematics , bernstein polynomial , periodic function , modulus of continuity , trigonometry , type (biology) , pi , polynomial , trigonometric functions , mathematical analysis , pure mathematics , function (biology) , geometry , ecology , evolutionary biology , biology
We have established the estimation of deviation of continuous $2\pi$-periodic function $f(x)$ from the trigonometric polynomial of S.N. Bernstein's type that corresponds to it, by the modulus of continuity of the function $f(x)$.