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

作者：Vinogradov O L^*

来源：Siberian Mathematical Journal, 2014, 55(3): 402-414.

DOI：10.1134/S0037446614030021

• Jackson inequalities
• second modulus of continuity
• completely monotone function

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.

• 出版日期2014-5