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.

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

Exact Constants in Jackson-type Inequalities and Exact Values of Widths

2005 ◽  
Vol 78 (5-6) ◽  
pp. 735-739 ◽  
Author(s):  
S. B. Vakarchuk
Keyword(s):  
Jackson Type ◽  
Exact Constants

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 $f\in L_2$.

Exact constants in Jackson-type inequalities for L 2-approximation on an axis

2009 ◽  
Vol 61 (1) ◽  
pp. 112-120 ◽  
Author(s):  
A. A. Ligun ◽  
V. G. Doronin
Keyword(s):  
Jackson Type ◽  
Exact Constants

Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in L 2

2011 ◽  
Vol 52 (6) ◽  
pp. 1124-1136 ◽  
Author(s):  
M. Sh. Shabozov ◽  
G. A. Yusupov
Keyword(s):  
Jackson Type ◽  
Exact Constants

Exact constants in inequalities of the jackson type for quadrature formulas

2000 ◽  
Vol 52 (1) ◽  
pp. 48-54
Author(s):  
V. G. Doronin ◽  
A. A. Ligun
Keyword(s):  
Quadrature Formulas ◽  
Jackson Type ◽  
Exact Constants

Widths of classes fromL 2[0, 2π] and minimization of exact constants in Jackson-type inequalities

1999 ◽  
Vol 65 (6) ◽  
pp. 689-693 ◽  
Author(s):  
M. G. Esmaganbetov
Keyword(s):  
Jackson Type ◽  
Exact Constants

On exact constants in Jackson-type inequalities in the space L2

1995 ◽  
Vol 47 (1) ◽  
pp. 125-129 ◽  
Author(s):  
V. V. Volchkov
Keyword(s):  
Jackson Type ◽  
The Space L2 ◽  
Exact Constants
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