2024-06-22T15:02:13Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02004485
2022-10-31T01:58:41Z
1642837622505:1642837628262:1642837636861
1642838403551:1642838406414
CONVERGENCE RATES OF EQUI-UNIFORM APPROXIMATION PROCESSES OF INTEGRAL OPERATORS IN BANACH SPACES
Nishishiraho, Toshihiko
西白保, 敏彦
We establish quantitative pointwise estimates of the rate of convergence of equi-uniform approximation processes of integral operators in Banach spaces in terms of the modulus of continuity of functions to be approximated and higher order absolute moments of approximate kernels with respect to certain test systems of approximating functions. Furthermore, applications are presented for various equi-uniform summation processes, interpolation type operators, convolution type operators, and several concrete examples of approximating operators are also provided.
紀要論文
http://purl.org/coar/resource_type/c_6501
Department of Mathematical Science, Faculty of Science, University of the Ryukyus
2008-12-30
VoR
http://hdl.handle.net/20.500.12000/9547
1344-008X
AA10779580
Ryukyu mathematical journal
21
56
23
eng
open access