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Properties of a Family of Operators |
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| Authors: | Potapov M. K. |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, Russia |
| Abstract: | In this paper we define a family of new nonsymmetric operators of generalized translation and describe their properties. For each of these operators, we introduce a generalized modulus of smoothness, for which the direct and inverse theorems of approximation theory are given. |
| Keywords: | operator of generalized translation generalized modulus of smoothness best approximation Peetre K-functional |
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