scholarly journals On Jackson type inequality in orlicz classes

2001 ◽  
Vol 14 (2) ◽  
Author(s):  
Konstantin Runovski
Keyword(s):  
Type Inequality ◽  
Jackson Type

scholarly journals Multivariate Jackson-type inequality for a new type neural network approximation

2014 ◽  
Vol 38 (24) ◽  
pp. 6031-6037 ◽  
Author(s):  
Shaobo Lin ◽  
Yuanhua Rong ◽  
Zongben Xu
Keyword(s):  
Neural Network ◽  
Type Inequality ◽  
Jackson Type ◽  
New Type

Jackson-type inequality on the sphere

2004 ◽  
Vol 102 (1/2) ◽  
pp. 1-36 ◽  
Author(s):  
Zeev Ditzian
Keyword(s):  
Type Inequality ◽  
Jackson Type

scholarly journals Optimal order Jackson type inequality for scaled Shepard approximation

2018 ◽  
Vol 227 ◽  
pp. 37-50 ◽  
Author(s):  
Steven Senger ◽  
Xingping Sun ◽  
Zongmin Wu
Keyword(s):  
Type Inequality ◽  
Optimal Order ◽  
Jackson Type

On the Jackson-Type Inequality for the Best Sp-Approximations of Functions by Trigonometric Polynomials

2017 ◽  
Vol 8 ◽  
pp. 27-35
Author(s):  
Alexander N. Shchitov
Keyword(s):  
Best Approximation ◽  
Type Inequality ◽  
Trigonometric Polynomials ◽  
Sharp Constant ◽  
Jackson Type ◽  
Moduli Of Continuity ◽  
Approximation Of Functions ◽  
The Best Approximation

We find the sharp constant in the Jackson-type inequality between the value of the best approximation of functions by trigonometric polynomials and moduli of continuity of m-th order in the spaces Sp, 1 ≤ p < ∞. In the particular case we obtain one result which in a certain sense generalizes the result obtained by L.V. Taykov for m = 1 in the space L2 for the arbitrary moduli of continuity of m-th order (m Є N).

scholarly journals On the Favard-Type Theorem and the Jackson-Type Theorem (II)

2011 ◽  
Vol 2011 ◽  
pp. 1-20
Author(s):  
Hee Sun Jung ◽  
Ryozi Sakai ◽  
Noriaki Suzuki
Keyword(s):  
Type Theorem ◽  
Type Inequality ◽  
Modulus Of Smoothness ◽  
Jackson Type ◽  
Exponential Weights ◽  
Jackson Type Theorem

Let , and let be an even function. We consider the exponential weights , . In this paper we investigate the relations between the Favard-type inequality and the Jackson-type inequality. We also discuss the equivalence of two K-functionals and the modulus of smoothness.

scholarly journals A Jackson-type inequality associated with wavelet bases decomposition

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kai-Cheng Wang
Keyword(s):  
Besov Spaces ◽  
Type Inequality ◽  
Jackson Inequality ◽  
Jackson Type ◽  
Wavelet Coefficients ◽  
Wavelet Bases ◽  
Wavelet Decompositions

AbstractAlthough wavelet decompositions of functions in Besov spaces have been extensively investigated, those involved with mild decay bases are relatively unexplored. In this paper, we study wavelet bases of Besov spaces and the relation between norms and wavelet coefficients. We establish the $l^{p}$ l p -stability as a measure of how effectively the Besov norm of a function is evaluated by its wavelet coefficients and the $L^{p}$ L p -completeness of wavelet bases. We also discuss wavelets with decay conditions and establish the Jackson inequality.

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.

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