Convergence Criteria for Hermite-Fejer Interpolation

Volume 7 Issue 2

Jun. 1991

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Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE) > 1991 > 7(2): 1-1.

Convergence Criteria for Hermite-Fejer Interpolation[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1991, 7(2): 1-1.

Citation:

Convergence Criteria for Hermite-Fejer Interpolation[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1991, 7(2): 1-1.

Citation:

Convergence Criteria for Hermite-Fejer Interpolation[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1991, 7(2): 1-1.

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Convergence Criteria for Hermite-Fejer Interpolation

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Received Date: April 14, 1991
Published Date: June 29, 1991

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Abstract

Abstract

In this paper we give useful convergence criteria for Hermite-Fejer interpo-lation H_n(f, x) , One of them is: H_n(f,x) converges uniformly to f(x) if and only if the norms of H_n(f,x) are uniformly bounded for all n and H_n(x^k , x) converges uniformly to x^k for k=l,2.

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