Direct And Inverse Theorems In Variable Exponent Smirnov Classes
| Autor: | Daniyal M. Israfilov, Elife Gursel |
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| Rok vydání: | 2021 |
| Předmět: | |
| DOI: | 10.48623/aperta.230502 |
| Popis: | Let G be a simple connected bounded domain in the complex plane C. Imposing some additional conditions on the variable exponent p (.), we prove direct and inverse theorems of approximation theory in the variable exponent Smirnov classes E-p(.) (G), when the boundary Gamma := partial derivative G is a Carleson curve or so called regular Jordan curve. A constructive characterization of Lipschitz subclass of E-p(.) (G) is also obtained. |
| Databáze: | OpenAIRE |
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