Effectiveness of transposed inverse sets in faber regions
The effectiveness properties, in Faber regions, of the transposed inverse of a given basic set of polynominals, are investigated in the present paper. A certain inevitable normalizing substitution, is first formulated, to be undergone by the given set to ensure the existence of the transposed invers...
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171283000241 |
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| author | J. A. Adepoju M. Nassif |
| author_facet | J. A. Adepoju M. Nassif |
| author_sort | J. A. Adepoju |
| collection | DOAJ |
| description | The effectiveness properties, in Faber regions, of the transposed inverse
of a given basic set of polynominals, are investigated in the present paper. A certain inevitable normalizing substitution, is first formulated, to be undergone by the given set to ensure the existence of the transposed inverse in the Faber region. The first main result of the present work (Theorem 2.1), on the one hand, provides a lower bound of the class of functions for which the normalized transposed inverse set is effective in the Faber region. On the other hand, the second main result (Theorem 5.2) asserts the fact that the normalized transposed inverse set of a simple set of polynomials, which is effective in a Faber region, should not necessarily be effective there. |
| format | Article |
| id | doaj-art-3b197f3773154b3c86245a21914e5d1d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3b197f3773154b3c86245a21914e5d1d2025-02-03T01:33:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016228529510.1155/S0161171283000241Effectiveness of transposed inverse sets in faber regionsJ. A. Adepoju0M. Nassif1Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria7 Denchaway Street, Sidi Gaber, Alexandria, EgyptThe effectiveness properties, in Faber regions, of the transposed inverse of a given basic set of polynominals, are investigated in the present paper. A certain inevitable normalizing substitution, is first formulated, to be undergone by the given set to ensure the existence of the transposed inverse in the Faber region. The first main result of the present work (Theorem 2.1), on the one hand, provides a lower bound of the class of functions for which the normalized transposed inverse set is effective in the Faber region. On the other hand, the second main result (Theorem 5.2) asserts the fact that the normalized transposed inverse set of a simple set of polynomials, which is effective in a Faber region, should not necessarily be effective there.http://dx.doi.org/10.1155/S0161171283000241basic sets of polynomialstranspose and transposed inverse setseffectivenessFaber regions. |
| spellingShingle | J. A. Adepoju M. Nassif Effectiveness of transposed inverse sets in faber regions International Journal of Mathematics and Mathematical Sciences basic sets of polynomials transpose and transposed inverse sets effectiveness Faber regions. |
| title | Effectiveness of transposed inverse sets in faber regions |
| title_full | Effectiveness of transposed inverse sets in faber regions |
| title_fullStr | Effectiveness of transposed inverse sets in faber regions |
| title_full_unstemmed | Effectiveness of transposed inverse sets in faber regions |
| title_short | Effectiveness of transposed inverse sets in faber regions |
| title_sort | effectiveness of transposed inverse sets in faber regions |
| topic | basic sets of polynomials transpose and transposed inverse sets effectiveness Faber regions. |
| url | http://dx.doi.org/10.1155/S0161171283000241 |
| work_keys_str_mv | AT jaadepoju effectivenessoftransposedinversesetsinfaberregions AT mnassif effectivenessoftransposedinversesetsinfaberregions |