Approximation estimates for convolution classes in terms of the second modulus of continuity

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作者
O. L. Vinogradov
机构
[1] St. Petersburg State University,
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关键词
Jackson inequalities; second modulus of continuity; completely monotone function;
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摘要
We establish the best approximation estimates for certain convolutions whose kernels are entire functions of exponential type in terms of the second modulus of continuity. The Jackson-type inequalities for even-order derivatives are particular cases of our estimates.
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页码:402 / 414
页数:12
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