Uniform-metric nonlinear approximation of functions from Besov-Lorentz spaces

1996 ◽  
Vol 79 (5) ◽  
pp. 1308-1319 ◽  
Author(s):  
Yu. V. Netrusov
Keyword(s):  
Nonlinear Approximation ◽  
Lorentz Spaces ◽  
Approximation Of Functions

scholarly journals Interpolation of Gentle Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Mourad Ben Slimane ◽  
Hnia Ben Braiek
Keyword(s):  
Function Space ◽  
Nonlinear Approximation ◽  
Lorentz Spaces ◽  
Complex Interpolation ◽  
Interpolation Spaces ◽  
Wavelet Coefficients ◽  
The Stability

The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients. It is based mainly on the separability, the existence of bases, the homogeneity, and theγ-stability. We prove that real and complex interpolation spaces between two gentle spaces are also gentle. This shows the relevance and the stability of this notion. We deduce that Lorentz spacesLp,qandHp,qspaces are gentle. Further, an application to nonlinear approximation is presented.

Approximation of Functions by Some Types of Szasz-mirakjan Operators

2012 ◽  
Vol 15 (3) ◽  
pp. 173-179
Author(s):  
Sahib Al-Saidy ◽  
◽  
Salim Dawood ◽  
Keyword(s):  
Approximation Of Functions

A genuine analogue of the Wiener Tauberian theorem for some Lorentz spaces on SL(2,ℝ)

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Tapendu Rana
Keyword(s):  
Tauberian Theorem ◽  
Lorentz Spaces

AbstractIn this paper, we prove a genuine analogue of the Wiener Tauberian theorem for {L^{p,1}(G)} ({1\leq p<2}), with {G=\mathrm{SL}(2,\mathbb{R})}.

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