Sharp Ul'yanov-type inequalities using fractional smoothness
From MaRDI portal
Publication:606673
DOI10.1016/j.jat.2010.04.010zbMath1215.26011OpenAlexW1965249844WikidataQ125133738 ScholiaQ125133738MaRDI QIDQ606673
B. V. Simonov, Sergey Yu. Tikhonov
Publication date: 18 November 2010
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2010.04.010
Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (19)
Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) metrics ⋮ Interrelations between partial moduli of smoothness in various mixed metrics ⋮ Interrelations between full moduli of smoothness in the metrics of \(L_1\) and \(L_\infty\) ⋮ On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation ⋮ Interrelations between mixed moduli of smoothness in metrics of \(L_p\) and \(L_\infty\) ⋮ Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes ⋮ Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \) ⋮ Mixed moduli of smoothness in mixed metrics ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ Connection between moduli of smoothness in the metrics of \(L_p\) and \(C\) ⋮ Sharp Ul'yanov inequalities for generalized Liouville-Weyl derivatives ⋮ Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates ⋮ Fractional smoothness in \(L^p\) with Dunkl weight and its applications ⋮ Some Problems in Fourier Analysis and Approximation Theory ⋮ Analogues of Ulyanov Inequalities for Mixed Moduli of Smoothness ⋮ Decay of Fourier Transforms and Generalized Besov Spaces ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\) ⋮ Jacobi weights, fractional integration, and sharp Ulyanov inequalities ⋮ Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On relations between moduli of continuity in different metrics
- Trigonometric series of Nikol'skii classes
- On imbedding constructive and structural Lipschitz spaces in symmetric spaces
- Weak interpolation in Banach spaces
- Ul'yanov and Nikol'skii-type inequalities
- Estimates for entire functions of exponential type
- Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
- Inequalities for moduli of smoothness versus embeddings of function spaces
- On moduli of smoothness of fractional order
- Convergence of trigonometric series with general monotone coefficients
- Moduli of smoothness of functions and their derivatives
- APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY TRIGONOMETRIC POLYNOMIALS, AND WIDTHS OF SOME CLASSES OF FUNCTIONS
- An Approach to Fractional Powers of Operators via Fractional Differences
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
- On riesz-type inequalities and k-functionals related to riesz potentials in
- Embeddings of fractional Sobolev spaces and estimates of Fourier transforms
- On two theorems of Lorentz
- Estimates for trigonometric integrals and the Bernšteĭn inequality for fractional derivatives
- IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS
This page was built for publication: Sharp Ul'yanov-type inequalities using fractional smoothness
