Approximation of periodic functions in LP by linear positive methods and multiple moduli of continuity

1987 ◽  
Vol 42 (6) ◽  
pp. 925-930 ◽  
Author(s):  
V. I. Ivanov ◽  
S. A. Pichugov
Keyword(s):  
Moduli Of Continuity ◽  
Periodic Functions ◽  
Approximation Of Periodic Functions

Approximation of periodic functions in certain sub-classes of Lp[0,2π]

2017 ◽  
Vol 10 (03) ◽  
pp. 1750046
Author(s):  
Uaday Singh ◽  
Soshal Saini
Keyword(s):  
Fourier Series ◽  
Trigonometric Approximation ◽  
Moduli Of Continuity ◽  
Periodic Functions ◽  
Matrix Means ◽  
Approximation Of Periodic Functions

In this paper, we determine the degree of trigonometric approximation of [Formula: see text]-periodic functions and their conjugates, in terms of the moduli of continuity associated with them, by matrix means of corresponding Fourier series. We also discuss some analogous results with remarks and corollaries.

scholarly journals On widths of some classes of functions with values in Hilbert space

2021 ◽  
Vol 17 ◽  
pp. 105
Author(s):  
S.V. Savela
Keyword(s):  
Hilbert Space ◽  
Moduli Of Continuity ◽  
Periodic Functions

We find the exact weak widths for one class of $2\pi$-periodic functions with values in Hilbert space, which is determined by moduli of continuity.

Sign in / Sign up

Export Citation Format

Share Document