Volterra type operator on the convex functions
Abstract
In this paper we study the Volterra type operatör $I_g$ on convex functions. Furthermore, some new properties for convex, starlike and spirallike
functions of complex order are discussed.
Keywords
References
- CHUAQUI, M., DUREN, P. L., OSGOOD, B.: Schwarzian derivatives of convex mapping, Annales Academiae Scientiarum Fennicae Mathematica. V. 39, (2011), 449–460.
- DUREN, P. L.: Univalent Univalent functions, Springer-Verlag New York, 1983.
- GRAHAM, I., KOHR, G.: Geometric function theory in one and higher dimensions, Marcel Dekker, Inc New York, 2003.
- HAYAMI, T., OWA, S.: New properties for starlike and convex functions of complex order, Int. J. Math. Analysis, V. 4 (2007), 39–62.
- HAYAMI, T., OWA, S., SRIVASTAVA, H, M.: Coefficient inequalities for certain classes of analytic and univalent function, J. Ineq. Pure and Appl. Math. V. 8 (2007), 1–10.
- NEHARI, Z.: A property of convex conformal maps, J. Analyse Math. 30, (1976), 390–393.
- LI, S.: Volterra composition operators between weighted Bergman spaces and Bloch-type spaces, J. Korean Math. Soc, 45 no. 1 (2008), 229–248.
- LI, S., STEVIC, S.: Products of composition and integral type operator from H1 to the Bloch space, Complex Variable Elliptic Functions, 53 no. 5 (2008), 463–474.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2018
Submission Date
August 4, 2015
Acceptance Date
February 21, 2017
Published in Issue
Year 2018 Volume: 47 Number: 1