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Your search keyword '"Zeng, X.-M."' showing total 2 results
Start Over Author "Zeng, X.-M." Topic mathematical analysis
2 results on '"Zeng, X.-M."'

1. Approximation of absolutely continuous functions by stancu beta operators.

Author

Zeng, X.-M.

Subjects
*APPROXIMATION theory, *CONTINUOUS functions, *BETA functions, *OPERATOR theory, *MATHEMATICAL analysis, *LINEAR algebra
Abstract

We obtain an exact estimate for the first-order absolute moment of Stancu Beta operators by means of the Stirling formula and integral operations. Then we use this estimate for establishing a theorem on approximation of absolutely continuous functions by Stancu Beta operators. [ABSTRACT FROM AUTHOR]

Published
2012
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2. Embedding relations of Besov classes under GBV.

Author

CHENG, W. T., XU, X. W., and ZENG, X. M.

Subjects
*EMBEDDINGS (Mathematics), *SET theory, *MATHEMATICAL equivalence, *ESTIMATION theory, *COEFFICIENTS (Statistics), *MATHEMATICAL analysis, *MATHEMATICAL models
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. [ABSTRACT FROM AUTHOR]

Published
2016

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