|
Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 494–508
(Mi smj2548)
|
|
|
|
Approximation estimates for convolution classes in terms of the second modulus of continuity
O. L. Vinogradov St. Petersburg State University, St. Petersburg, Russia
Abstract:
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.
Keywords:
Jackson inequalities, second modulus of continuity, completely monotone function.
Received: 24.04.2013
Citation:
O. L. Vinogradov, “Approximation estimates for convolution classes in terms of the second modulus of continuity”, Sibirsk. Mat. Zh., 55:3 (2014), 494–508; Siberian Math. J., 55:3 (2014), 402–414
Linking options:
https://www.mathnet.ru/eng/smj2548 https://www.mathnet.ru/eng/smj/v55/i3/p494
|
|