Search

Your search keyword '"Lian, Xia"' showing total 3 results
Start Over Author "Lian, Xia" Journal journal of shanghai university (english edition)
3 results on '"Lian, Xia"'

3. On the best convergence order of a new class of triangular summation operators

Author

Jia-Na Meng and Lian-Xia Zhao

Subjects
Discrete mathematics, Operator (computer programming), General Mathematics, Uniform convergence, Normal convergence, Convergence (routing), General Engineering, Applied mathematics, Uniform absolute-convergence, Operator theory, Modes of convergence, Compact convergence, Mathematics
Abstract

In this paper, a new class of triangular summation operators based on the equidistant nodes was constructed. It is proved that this class of operators converges uniformly to arbitrary continuous functions with the period 2π on the whole axis. Furthermore, the best approximation order and the highest convergence order are obtained. In contrast to certain operators constructed by Bernstein and Kis in the previous works, the convergence properties of the new operator constructed in this paper are superior.

Published
2006

Catalog

Books, media, physical & digital resources
See catalog results