Exact inequalities of jackson type for periodic functions in space L2

1988 ◽  
Vol 43 (6) ◽  
pp. 435-443 ◽  
Author(s):  
A. A. Ligun
Keyword(s):  
Jackson Type ◽  
Periodic Functions

Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities

2009 ◽  
Vol 61 (11) ◽  
pp. 1695-1709
Author(s):  
V. F. Babenko ◽  
N. V. Parfinovich
Keyword(s):  
Jackson Type ◽  
Periodic Functions

On Jackson Type Inequalities for the Best Approximations of Periodic Functions

2015 ◽  
Vol 210 (5) ◽  
pp. 654-663
Author(s):  
V. V. Zhuk
Keyword(s):  
Jackson Type ◽  
Periodic Functions ◽  
Best Approximations

scholarly journals On the best polynomial approximation of $2\pi$-periodic functions in the $L_2$ space

2015 ◽  
Vol 23 ◽  
pp. 19
Author(s):  
S.B. Vakarchuk
Keyword(s):  
Polynomial Approximation ◽  
Finite Differences ◽  
Jackson Type ◽  
Periodic Functions ◽  
Best Polynomial Approximation ◽  
Exact Constants

On the classes $L^r_2$, where $r\in {\mathbb{Z}}_+$, exact constants of Jackson type inequalities have been obtained for the characteristics of smoothness ${\Delta}_k (f)$, $k\in \mathbb{N}$, which are defined by the averaged $k$-th order finite differences of functions $f\in L_2$.

Approximating periodic functions by interpolation sums of Jackson type

2009 ◽  
Vol 157 (4) ◽  
pp. 592-606
Author(s):  
V. V. Zhuk
Keyword(s):  
Jackson Type ◽  
Periodic Functions

Approximating periodic functions in the uniform metric by Jackson type polynomials

2009 ◽  
Vol 157 (4) ◽  
pp. 607-622
Author(s):  
V. V. Zhuk
Keyword(s):  
Jackson Type ◽  
Periodic Functions

On Jackson-type inequalities associated with separable Haar wavelets

2016 ◽  
Vol 14 (03) ◽  
pp. 1650005 ◽  
Author(s):  
P. Andrianov ◽  
M. Skopina
Keyword(s):  
Uniform Approximation ◽  
Sharp Estimate ◽  
Type Inequality ◽  
Haar Wavelets ◽  
Jackson Type ◽  
Periodic Functions ◽  
Interesting Phenomenon

Uniform approximation of multivariate periodic functions by Haar polynomials is studied. A general sharp Jackson type inequality and its refinement for certain types of numbers [Formula: see text] are discussed. An interesting phenomenon appears for some numbers [Formula: see text]: a sharp estimate is not unique.

The Numerical Scheme without Saturation for Periodic Functions

2018 ◽  
Vol 481 (4) ◽  
pp. 362-366
Author(s):  
A. Petrov ◽  
Keyword(s):  
Numerical Scheme ◽  
Periodic Functions
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