Piecewise Monotone Approximation of Unbounded Functions In Weighted Space LP,w([-,]) | ||
| Journal of University of Anbar for Pure Science | ||
| Article 11, Volume 16, Issue 1, July 2022, Pages 65-68 PDF (495.89 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2022.174841 | ||
| Authors | ||
| Alaa Adnan* 1; Sultan Mehiady2 | ||
| 1Department of Mathematics,College of Education for pure science, University of Anbar, Ramadi,Iraq | ||
| 2Department of Mathematics,College of Education for pure science,University of Anbar, Ramadi,Iraq | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| piecewise monotone approximation; unbounded functions; weight space | ||
| References | ||
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