Piecewise Monotone Approximation of Unbounded Functions In Weighted Space LP,w([-,])
In this paper, investigate the approximation of unbounded functions in weighted space, by using trigonometric polynomials considered. We introduced type of polynomials piecewise monotone having same local monotonicity as unbounded functions without affecting the order of huge error have a finite nu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Anbar
2022-07-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
| Subjects: | |
| Online Access: | https://juaps.uoanbar.edu.iq/article_174841_0b8e94e6e70086d374c9b681cb65fa19.pdf |
| Summary: | In this paper, investigate the approximation of unbounded functions in weighted space, by using trigonometric polynomials considered. We introduced type of polynomials piecewise monotone having same local monotonicity as unbounded functions without affecting the order of huge error have a finite number of max. and min. unbounded functions that amount. In addition, we established not included any of extreme points of this functions, of and closed subset γ on closed intervals then there exist class of polynomials such that the best of approximation has high or order of and such that for sufficiently great of the polynomials and functions have the same monotonicity at each of γ. |
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| ISSN: | 1991-8941 2706-6703 |