On a Jackson-Type Inequality in the Approximation of a Function by Linear Summation Methods in the Space $L_2$
We prove a statement on exact inequalities between the deviations of functions from their linear methods (in the metric of $L_2$) with multipliers defined by a continuous function and majorants determined as the scalar product of the squared modulus of continuity (of order r) in $L_2$ for the lth de...
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3927 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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