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- Title
Embedding relations of Besov classes under GBV.
- Authors
CHENG, W. T.; XU, X. W.; ZENG, X. M.
- Abstract
In this paper, we strengthen some of Leindler's results from [L. Leindler. Embedding relations of Besov classes. Acta Sci. Math. (Szeged), 73(2007)133-149.] under GBV condition. First, we discuss embedding relations between two Besov classes. Next, we give an equivalent estimate for the k-order modulus of continuity of f (x) in Lp norm under GBV condition. Finally, we give the condition to ensure a function f ∈ Lp have Fourier coefficients of GBV belongs to the Besov class.
- Subjects
EMBEDDINGS (Mathematics); SET theory; MATHEMATICAL equivalence; ESTIMATION theory; COEFFICIENTS (Statistics); MATHEMATICAL analysis; MATHEMATICAL models
- Publication
Journal of Computational Analysis & Applications, 2016, Vol 20, Issue 3, p499
- ISSN
1521-1398
- Publication type
Article