Applications of differential subordinations for norm estimates of an integral operator
Published online by Cambridge University Press: 06 November 2017
Abstract
By considering the norm of a locally univalent function given by
we obtain such norm estimates for an operator of functions involving a convolution structure of convex univalent functions with a subclass of convex functions (defined by subordination). We also obtain some inequalities concerning this norm for functions under a certain fractional integral operator. Some implications of our results are briefly pointed out in the concluding section.
Keywords
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 2 , April 2018 , pp. 281 - 291
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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