An approximation property of Gaussian functions
Using the power series method, we solve the inhomogeneous linear first order differential equation $$ y'(x) + lambda (x-mu) y(x) = sum_{m=0}^infty a_m (x-mu)^m, $$ and prove an approximation property of Gaussian functions.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/03/abstr.html |
| _version_ | 1828256515154247680 |
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| author | Soon-Mo Jung Hamdullah Sevli Sebaheddin Sevgin |
| author_facet | Soon-Mo Jung Hamdullah Sevli Sebaheddin Sevgin |
| author_sort | Soon-Mo Jung |
| collection | DOAJ |
| description | Using the power series method, we solve the inhomogeneous linear first order differential equation $$ y'(x) + lambda (x-mu) y(x) = sum_{m=0}^infty a_m (x-mu)^m, $$ and prove an approximation property of Gaussian functions. |
| first_indexed | 2024-04-13T02:29:15Z |
| format | Article |
| id | doaj.art-3fdd1e50918b499f95833dde3111e3d1 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T02:29:15Z |
| publishDate | 2013-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-3fdd1e50918b499f95833dde3111e3d12022-12-22T03:06:39ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201303,18An approximation property of Gaussian functionsSoon-Mo JungHamdullah SevliSebaheddin SevginUsing the power series method, we solve the inhomogeneous linear first order differential equation $$ y'(x) + lambda (x-mu) y(x) = sum_{m=0}^infty a_m (x-mu)^m, $$ and prove an approximation property of Gaussian functions.http://ejde.math.txstate.edu/Volumes/2013/03/abstr.htmlLinear first order differential equationpower series methodGaussian functionapproximationHyers-Ulam stabilitylocal Hyers-Ulam stability |
| spellingShingle | Soon-Mo Jung Hamdullah Sevli Sebaheddin Sevgin An approximation property of Gaussian functions Electronic Journal of Differential Equations Linear first order differential equation power series method Gaussian function approximation Hyers-Ulam stability local Hyers-Ulam stability |
| title | An approximation property of Gaussian functions |
| title_full | An approximation property of Gaussian functions |
| title_fullStr | An approximation property of Gaussian functions |
| title_full_unstemmed | An approximation property of Gaussian functions |
| title_short | An approximation property of Gaussian functions |
| title_sort | approximation property of gaussian functions |
| topic | Linear first order differential equation power series method Gaussian function approximation Hyers-Ulam stability local Hyers-Ulam stability |
| url | http://ejde.math.txstate.edu/Volumes/2013/03/abstr.html |
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