Exact constants in inequalities of Jackson type

1985 ◽  
Vol 38 (2) ◽  
pp. 648-653
Author(s):  
A. A. Ligun
Keyword(s):  
Jackson Type ◽  
Exact Constants

scholarly journals Behaviour of exact constants in inequalities of Jackson type

2021 ◽  
Vol 16 ◽  
pp. 84
Author(s):  
V.G. Doronin ◽  
A.A. Ligun
Keyword(s):  
Jackson Type ◽  
Exact Constants

We studied the behaviour of exact constants in inequalities of Jackson type in $L_p$ space.

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 $f\in L_2$.

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