International Journal of Functional Analysis, Operator Theory and Applications
Volume 1, Issue 1, Pages 73 - 96
(June 2009)
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ON A GENERALIZED CONVOLUTION APPROXIMATION PROBLEM
Sheng Baohuai (P. R. China)
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Abstract:
In the present paper, a kind of generalized convolutional approximation problem is dealt with. The Jackson inequality for such type of convolutional approximation is established for the kernels with the Jacobi polynomials being their eigenfunctions. The direct and the inverse theorems are established with a K-functional. |
| Keywords and phrases: learning theory, Jacobi polynomials, approximation theory, Jackson inequality, K-functional. |
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