Abstract
In this note, we investigate the supremum and the infimum of the functional | an + 1| - | an| for functions, convex and analytic on the unit disk, of the form f(z) = z+ a2z2+ a3z3+ ⋯. We also consider the related problem of maximizing the functional | an + 1- an| for convex functions f with f′ ′(0) = p for a prescribed p∈ [0 , 2].
Original language | English |
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Pages (from-to) | 179-193 |
Number of pages | 15 |
Journal | Computational Methods and Function Theory |
Volume | 17 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2017 Jun 1 |
Externally published | Yes |
Keywords
- Convex function
- Successive coefficients
- Toeplitz determinant
ASJC Scopus subject areas
- Analysis
- Computational Theory and Mathematics
- Applied Mathematics