Open Access
2012 On the convexity of certain integral operators
Daniel Breaz, Vasile Marius Macarie
Ann. Funct. Anal. 3(2): 183-190 (2012). DOI: 10.15352/afa/1399899942

Abstract

‎In this paper we consider the classes of starlike functions of‎ ‎order $\alpha $‎, ‎convex functions of order $\alpha $ and we study‎ ‎the convexity and $\alpha $-order convexity for some general‎ ‎integral operators‎. ‎Several corollaries of the main results are‎ ‎also considered‎.

Citation

Download Citation

Daniel Breaz. Vasile Marius Macarie. "On the convexity of certain integral operators." Ann. Funct. Anal. 3 (2) 183 - 190, 2012. https://doi.org/10.15352/afa/1399899942

Information

Published: 2012
First available in Project Euclid: 12 May 2014

zbMATH: 1255.30018
MathSciNet: MR2948398
Digital Object Identifier: 10.15352/afa/1399899942

Subjects:
Primary: 30C45
Secondary: 30C55 , 47G10

Keywords: Analytic function , convexity , ‎integral operator , ‎open unit disk , ‎starlike function

Rights: Copyright © 2012 Tusi Mathematical Research Group

Vol.3 • No. 2 • 2012
Back to Top