Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis
| Autor: | Ramazan Akgün, Arash Ghorbanalizadeh |
|---|---|
| Přispěvatelé: | Fen Edebiyat Fakültesi |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Lipschitz class Degree (graph theory) Variable exponent Modulus of Continuity General Mathematics Simultaneous Approximation Inverse Theorem Direct Theorem Direct theorem Modulus of continuity Direct theorem inverse theorem modulus of continuity simultaneous approximation Lipschitz class Lipschitz Class Lp space Complex plane Mathematics |
| Zdroj: | Volume: 42, Issue: 4 1887-1903 Turkish Journal of Mathematics |
| ISSN: | 1300-0098 1303-6149 |
| Popis: | Akgün, Ramazan (Balikesir Author) We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates of approximation by integral functions of finite degree in L-p(.). An equivalence of modulus of continuity with Peetre's K-functional is established. A constructive characterization of Lipschitz class is also obtained. Balikesir University Scientific Research Project - 2018/001 |
| Databáze: | OpenAIRE |
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