Nonlinear sampling for sparse recovery

Author(s):  
Seyed Amir-Hossein Hosseini ◽  
Mahdi Barzegar Khalilsarai ◽  
Arash Amini ◽  
Farokh Marvasti
Author(s):  
Li ZENG ◽  
Xiongwei ZHANG ◽  
Liang CHEN ◽  
Weiwei YANG
Keyword(s):  

2021 ◽  
pp. 1-1
Author(s):  
Baifu Zheng ◽  
Cao Zeng ◽  
Shidong Li ◽  
Guisheng Liao
Keyword(s):  

2021 ◽  
Vol 76 (2) ◽  
Author(s):  
Nursel Çetin ◽  
Danilo Costarelli ◽  
Gianluca Vinti

AbstractIn this paper, we establish quantitative estimates for nonlinear sampling Kantorovich operators in terms of the modulus of smoothness in the setting of Orlicz spaces. This general frame allows us to directly deduce some quantitative estimates of approximation in $$L^{p}$$ L p -spaces, $$1\le p<\infty $$ 1 ≤ p < ∞ , and in other well-known instances of Orlicz spaces, such as the Zygmung and the exponential spaces. Further, the qualitative order of approximation has been obtained assuming f in suitable Lipschitz classes. The above estimates achieved in the general setting of Orlicz spaces, have been also improved in the $$L^p$$ L p -case, using a direct approach suitable to this context. At the end, we consider the particular cases of the nonlinear sampling Kantorovich operators constructed by using some special kernels.


Author(s):  
Seung-Jae Lee ◽  
Ji-Hoon Bae ◽  
Byung-Soo Kang ◽  
Kyung-Tae Kim ◽  
Eun-Jung Yang

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