Approximation of Periodic Functions of Many Variables in Metric Spaces by Piecewise-Constant Functions
We prove the direct and inverse Jackson- and Bernstein-type theorems for averaged approximations of periodic functions of many variables by piecewise-constant functions with uniform partition of the period torus in metric spaces with integral metric given by a function ψ of the type of modulus of co...
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| Date: | 2013 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2013
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2510 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |