𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Inequality for Convex Functions

✍ Scribed by C.E.M. Pearce; J.E. Pecaric

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
95 KB
Volume
183
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Matrix Inequalities for Convex Functions
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

Hadamard's Inequality forr-Convex Functi
Hadamard's Inequality forr-Convex Functions
✍ P.M. Gill; C.E.M. Pearce; J. Pečarić 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 165 KB

Versions of the upper Hadamard inequality are developed for r-convex and r-concave functions.

Logarithmic Convexity and Inequalities f
Logarithmic Convexity and Inequalities for the Gamma Function
✍ 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.

Coefficient Inequalities for Strongly Cl
Coefficient Inequalities for Strongly Close-to-Convex Functions
✍ 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 .