𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inequalities for Semi-convex Matrix Functions

✍ Scribed by B. Mond; J.E. Pecaric


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
248 KB
Volume
185
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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

Coefficient Inequalities for Strongly Cl
✍ William Ma; David Minda 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 189 KB

## 2 3 Let f z s z q a z q a z q иии be a normalized strongly close-to-convex 2 3 function of order ␣ ) 0 defined on the unit disk ‫.ބ‬ This means that there is a normalized convex univalent function and ␤ g ‫ޒ‬ such that X f z ␣ Ž .

Logarithmic Convexity and Inequalities f
✍ Milan Merkle 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 132 KB

We propose a method, based on logarithmic convexity, for producing sharp Ž . Ž . bounds for the ratio ⌫ x q ␤ r⌫ x . As an application, we present an inequality that sharpens and generalizes inequalities due to Gautschi, Chu, Boyd, Lazarevic-Ĺupas ¸, and Kershaw.