✦ LIBER ✦

Regions of variability for convex functions

✍ Scribed by Hiroshi Yanagihara

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 133 KB
Volume: 279
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310449

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Let 𝒞 be the class of convex univalent functions f in the unit disc 𝔻 normalized by f (0) = f ′(0) – 1 = 0. For z ~0~ ∈ 𝔻 and |λ | ≤ 1 we shall determine explicitly the regions of variability {log f ′(z ~0~): f ∈ 𝒞, f ″(0) = 2__λ__ }. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Minimal Representation of Convex Regions

Minimal Representation of Convex Regions Defined by Analytic Functions

✍ Wiesława T. Obuchowska 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 177 KB

An Inequality for Convex Functions

✍ C.E.M. Pearce; J.E. Pecaric 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 95 KB

Matrix Inequalities for Convex Functions

✍ B. Mond; J.E. Pečarić 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 151 KB

Many converses of Jensen's inequality for convex functions can be found in the literature. Here we give matrix versions, with matrix weights, of these inequalities. Some applications to the Hadamard product of matrices are also given. ᮊ 1997

Radii Properties for Subclasses of Conve

Radii Properties for Subclasses of Convex Functions

✍ H. Silverman; E.M. Silvia 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 264 KB

Rational rooftop functions for convex qu

Rational rooftop functions for convex quadrilaterals

✍ Luc Knockaert 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

Inequalities for Semi-convex Matrix Func

Inequalities for Semi-convex Matrix Functions

✍ B. Mond; J.E. Pecaric 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 248 KB