𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Grünbaum's inequality for Bessel functions

✍ Scribed by Richard Askey


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
93 KB
Volume
41
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Grünbaum's gap conjecture
✍ Grattan Murphy; Ren Ding 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 550 KB

Purdy's generalization of Griinbaum's gap conjecture is roved for all arrangements w&h a sufficiently high maximum number of concurrent lines. We also improve Purdy's bounds for the general theorem and establish two lower bounds for h(A) for all arrangements.

A new proof of Grünbaum's 3 color theore
✍ O.V. Borodin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 307 KB

A simple proof of Grfinbaum's theorem on the 3-colourability of planar graphs having at most three 3-cycles is given, which does not employ the colouring extension. In 1958, Gr6tzsch I-5] proved that every planar graph without cycles of length three is 3-colourable. In 1963, Griinbaum [6] extended

Best Bounds in Doob's Maximal Inequality
✍ Jesper Lund Pedersen 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 115 KB

Let ((Z t ), P z ) be a Bessel process of dimension :>0 started at z under P z for z 0. Then the maximal inequality is shown to be satisfied for all stopping times { for (Z t ) with E z ({ pÂ2 )< , and all p>(2&:) 6 0. The constants ( pÂ( p&(2&:))) pÂ(2&:) and pÂ( p&(2&:)) are the best possible. If