Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector
Some general theorems on differential subordinations of some functionals connected with arithmetic and geometric means related to a sector are proved. These results unify a number of well known results concerning inclusion relation between the classes of analytic functions built with using arithmeti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/205845 |
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| _version_ | 1832563781612339200 |
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| author | A. Lecko M. Lecko |
| author_facet | A. Lecko M. Lecko |
| author_sort | A. Lecko |
| collection | DOAJ |
| description | Some general theorems on differential subordinations of some functionals connected with arithmetic and geometric means related to a sector are proved. These results unify a number of well known results concerning inclusion relation between the classes of analytic functions built with using arithmetic and geometric means. |
| format | Article |
| id | doaj-art-6f1bd492de9f43af8bced94523db6a64 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6f1bd492de9f43af8bced94523db6a642025-02-03T01:12:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/205845205845Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a SectorA. Lecko0M. Lecko1Department of Analysis and Differential Equations, University of Warmia and Mazury in Olsztyn, Street Zolnierska 14, 10-561 Olsztyn, PolandDepartment of Mathematics, Rzeszów University of Technology, Street W. Pola 2, 35-959 Rzeszów, PolandSome general theorems on differential subordinations of some functionals connected with arithmetic and geometric means related to a sector are proved. These results unify a number of well known results concerning inclusion relation between the classes of analytic functions built with using arithmetic and geometric means.http://dx.doi.org/10.1155/2011/205845 |
| spellingShingle | A. Lecko M. Lecko Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector International Journal of Mathematics and Mathematical Sciences |
| title | Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector |
| title_full | Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector |
| title_fullStr | Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector |
| title_full_unstemmed | Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector |
| title_short | Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector |
| title_sort | differential subordinations of arithmetic and geometric means of some functionals related to a sector |
| url | http://dx.doi.org/10.1155/2011/205845 |
| work_keys_str_mv | AT alecko differentialsubordinationsofarithmeticandgeometricmeansofsomefunctionalsrelatedtoasector AT mlecko differentialsubordinationsofarithmeticandgeometricmeansofsomefunctionalsrelatedtoasector |