On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth
The present paper is concerned with the rational approximation of functions holomorphic on a domain G⊂C, having generalized types of rates of growth. Moreover, we obtain the characterization of the rate of decay of product of the best approximation errors for functions f having fast and slow rates o...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/908104 |
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| _version_ | 1832551313760583680 |
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| author | Devendra Kumar |
| author_facet | Devendra Kumar |
| author_sort | Devendra Kumar |
| collection | DOAJ |
| description | The present paper is concerned with the rational approximation of functions holomorphic on a domain G⊂C, having generalized types of rates of growth. Moreover, we obtain the characterization of the rate of decay of product of the best approximation errors for functions f having fast and slow rates of growth of the maximum modulus. |
| format | Article |
| id | doaj-art-4fef0b20a7834db0820c5ff8d446a3be |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4fef0b20a7834db0820c5ff8d446a3be2025-02-03T06:01:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/908104908104On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of GrowthDevendra Kumar0Department of Mathematics, Research and Post Graduate Studies, M.M.H. College, Model Town, Ghaziabad 201001, UP, IndiaThe present paper is concerned with the rational approximation of functions holomorphic on a domain G⊂C, having generalized types of rates of growth. Moreover, we obtain the characterization of the rate of decay of product of the best approximation errors for functions f having fast and slow rates of growth of the maximum modulus.http://dx.doi.org/10.1155/2012/908104 |
| spellingShingle | Devendra Kumar On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth International Journal of Mathematics and Mathematical Sciences |
| title | On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth |
| title_full | On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth |
| title_fullStr | On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth |
| title_full_unstemmed | On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth |
| title_short | On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth |
| title_sort | on the rational approximation of analytic functions having generalized types of rate of growth |
| url | http://dx.doi.org/10.1155/2012/908104 |
| work_keys_str_mv | AT devendrakumar ontherationalapproximationofanalyticfunctionshavinggeneralizedtypesofrateofgrowth |