Differential subordination and convexity criteria of integral operators

Differential subordination and convexity criteria of integral operators

A significant connection between certain second-order differential subordination and subordination of ′( ) 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 defi...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2017-12, Vol.15 (1), p.1509-1516
Hauptverfasser: Chandrashekar, R., Keong Lee, See, Subramanian, K.G.
Format: Artikel
Sprache:eng
Schlagworte:
30C45
30C80
Analytic functions
Convex functions
Convexity
Criteria
Differential subordination
Integral operators
Integrals
Operators (mathematics)
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Beschreibung
Zusammenfassung:A significant connection between certain second-order differential subordination and subordination of ′( ) 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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0127