دورية أكاديمية
Estimations of the best M-term approximations of functions in the Lorentz space with constructive methods
| العنوان: | Estimations of the best M-term approximations of functions in the Lorentz space with constructive methods |
|---|---|
| المؤلفون: | G. Akishev |
| المصدر: | Қарағанды университетінің хабаршысы. Математика сериясы, Vol 87, Iss 3 (2017) |
| بيانات النشر: | Academician Ye.A. Buketov Karaganda University, 2017. |
| سنة النشر: | 2017 |
| المجموعة: | LCC:Analysis LCC:Analytic mechanics LCC:Probabilities. Mathematical statistics |
| مصطلحات موضوعية: | Lorentz space, Nikol’ski-Besov class, the best M-term approximations, approximation, sufficient conditions, estimate, Analysis, QA299.6-433, Analytic mechanics, QA801-939, Probabilities. Mathematical statistics, QA273-280 |
| الوصف: | This paper considers the Lorentz space of periodic functions of many variables with the anisotropic norm, of functional Nikol’skii-Besov’s class and of the best M -term approximation of function. We have established sufficient conditions for the function to belong to one of the Lorentz spaces in another. We obtain upper and lower bounds for the best M -member approximations of functions from the Nikol’skii-Besov class in the anisotropic Lorentz space To prove the upper bound, we used a new constructive method developed by V.N. Temlyakov. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2518-7929 2663-5011 |
| Relation: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/158; https://doaj.org/toc/2518-7929; https://doaj.org/toc/2663-5011 |
| DOI: | 10.31489/2017m3/13-26 |
| URL الوصول: | https://doaj.org/article/39dcb91bb8234e9cb71263b94db63299 |
| رقم الأكسشن: | edsdoj.39dcb91bb8234e9cb71263b94db63299 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 25187929 26635011 |
|---|---|
| DOI: | 10.31489/2017m3/13-26 |