𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A superadditive property of Hadamard’s gamma function

✍ Scribed by Horst Alzer

Book ID
107619605
Publisher
Vandenhoeck & Ruprecht
Year
2009
Tongue
German
Weight
295 KB
Volume
79
Category
Article
ISSN
0025-5858

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A subadditive property of the gamma func
A subadditive property of the gamma function
✍ Horst Alzer; Stephan Ruscheweyh 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 116 KB

Let ∆ = min x 0 Γ (2x)/Γ (x) and α \* = log 2/ log ∆ = -0.946850. . . . We prove that the function x → (Γ (x)) α is subadditive on (0, ∞) if and only if α \* α 0.

A generalization of Hadamard’s inequalit
A generalization of Hadamard’s inequality for convex functions
✍ W.H. Yang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 152 KB

In this note, we give a counterexample to show that Hadamard's inequality does not hold on a polyhedron in multi-dimensional Euclidean space. Then we give a sufficient condition on the polyhedron for Hadamard's inequality to hold. Finally, we provide an approach to create a large class of polyhedra

On Hadamard Property of a Certain Class
On Hadamard Property of a Certain Class of Finite Groups
✍ Jung R. Cho; Noboru Ito; Pan Soo Kim 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 124 KB

Utilizing results of Nekrasov and Berkovich we investigate Hadamard property of a certain class of finite groups ᮊ 1998 Academic Press 666