Differential subordination and convexity criteria of integral operators
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions def...
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De Gruyter
2017-12-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0127 |
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doaj-99fbc51a56a349a4ac3f66fda1dccf5b2021-09-06T19:20:09ZengDe GruyterOpen Mathematics2391-54552017-12-011511509151610.1515/math-2017-0127math-2017-0127Differential subordination and convexity criteria of integral operatorsChandrashekar R.0Keong Lee See1Subramanian K.G.2Department of Technology and Management, Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, MalaysiaDepartment of Mathematics, Madras Christian College, Tambaram, Chennai600059IndiaA significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.https://doi.org/10.1515/math-2017-0127convex functionsdifferential subordinationintegral operators30c4530c80 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chandrashekar R. Keong Lee See Subramanian K.G. |
| spellingShingle |
Chandrashekar R. Keong Lee See Subramanian K.G. Differential subordination and convexity criteria of integral operators Open Mathematics convex functions differential subordination integral operators 30c45 30c80 |
| author_facet |
Chandrashekar R. Keong Lee See Subramanian K.G. |
| author_sort |
Chandrashekar R. |
| title |
Differential subordination and convexity criteria of integral operators |
| title_short |
Differential subordination and convexity criteria of integral operators |
| title_full |
Differential subordination and convexity criteria of integral operators |
| title_fullStr |
Differential subordination and convexity criteria of integral operators |
| title_full_unstemmed |
Differential subordination and convexity criteria of integral operators |
| title_sort |
differential subordination and convexity criteria of integral operators |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2017-12-01 |
| description |
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results. |
| topic |
convex functions differential subordination integral operators 30c45 30c80 |
| url |
https://doi.org/10.1515/math-2017-0127 |
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AT chandrashekarr differentialsubordinationandconvexitycriteriaofintegraloperators AT keongleesee differentialsubordinationandconvexitycriteriaofintegraloperators AT subramaniankg differentialsubordinationandconvexitycriteriaofintegraloperators |
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