𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotonicity results and inequalities for the gamma and error functions

✍ Scribed by Andrea Laforgia; Silvana Sismondi

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
415 KB
Volume
23
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An inequality for monotonic functions ge
An inequality for monotonic functions generalizing Ostrowski and related results
✍ S.S. Dragomir; A. Sofo πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 380 KB

A b s t r a c t --I n this paper, we establish a generalisation of the Ostrowski inequality for monotonic functions that also includes various recent results and apply it for quadrature formulae in numerical integration.

Logarithmic Convexity and Inequalities f
Logarithmic Convexity and Inequalities for the Gamma Function
✍ Milan Merkle πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.