A Bernstein type inequality associated with wavelet bi-frame decomposition
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Publication:326446
DOI10.1186/s13660-016-1189-7zbMath1350.41011OpenAlexW2529722396WikidataQ59459901 ScholiaQ59459901MaRDI QIDQ326446
Chiou-Yueh Gun, Kuei-Fang Chang, Kai-Cheng Wang, Chi-I Yang
Publication date: 12 October 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-016-1189-7
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Cites Work
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- Pre-wavelet bases in Lebesgue spaces
- Convergence and characterization of wavelets associated with dilation matrix in variable \(L^p\) spaces
- Wavelets convergence and unconditional bases for \(L^p(\mathbb R^n)\) and \(H^1 (\mathbb R^n)\)
- Wavelet frame bijectivity on Lebesgue and Hardy spaces
- Constructing pairs of dual bandlimited framelets with desired time localization
- Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
- Wavelets as unconditional bases in \(L_p(\mathbb{R})\)
- On \(L^ p\)-boundedness of affine frame operators
- Multilevel decompositions of functional spaces
- Wavelets, approximation, and statistical applications
- Tight wavelet frames in Lebesgue and Sobolev spaces
- A Bernstein-type inequality associated with wavelet decomposition
- A family of polynomial spline wavelet transforms
- Wavelets with exponential localization
- Bi-framelet systems with few vanishing moments characterize Besov spaces
- Compactly supported tight and sibling frames with maximum vanishing moments
- Framelets: MRA-based constructions of wavelet frames
- A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
- The canonical and alternate duals of a wavelet frame
- Existence of unconditional wavelet packet bases for the spaces \(L^p(\mathbb R)\) and \(\mathcal H^1(\mathbb R)\)
- A theory for multiresolution signal decomposition: the wavelet representation
- Ten Lectures on Wavelets
- On Compactly Supported Spline Wavelets and a Duality Principle
- Compression of Wavelet Decompositions
- Biorthogonal bases of compactly supported wavelets
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Unconditional basic sequence in $L^p(\mu )$ and its $l^p$-stability
- Wavelet bases in $L^{p}(ℝ)$
- Characterization of Function Spaces Using Wavelets
- An introduction to frames and Riesz bases
