EVENTS

"Dynamic Symmetry"
Jesse Fulton

12:00 pm, Tue, 13th Oct 2015
V103, Mathematics Building

CARMA RHD Meeting

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Prof David Jeffrey

2:00 pm, Tue, 13th Oct 2015
V205, Mathematics Building

CARMA Colloquium

"Zeros and irreducibility of gcd-polynomials"
Karl Dilcher

4:00 pm, Thu, 15th Oct 2015
V205, Mathematics Building

These are the events in the next 7 days. For more, see the events page.

CONFERENCES

Coming up next: Tony Guttman at 70! (7-8 December)

NEWS

Matt Tam wins 2015 Bernard Neumman prize

CARMA Ph.D. student Matt Tam was a winner of the 2015 Bernhard Neumann Prize. This prestigious prize is given for the best student talk at the annual meeting of the Australian Mathemati... [READ MORE]

AMSI "Choose Maths News"

AMSI has a new quarterly maths newsletter which you can view at schools.amsi.org.au/news/, and you can also subscribe to an e-mail version. The September edition includes stories on ... [READ MORE]

A/Prof Mike Meylan talks about wave power

Recently Mike Meylan spoke to 2NURFM about his research in wave power. Listen here.

HIGHLIGHTS

Selected paper from DocServer
Peter Borwein, Tamas Erdelyi

ABSTRACT

The principal result of this paper is the establishment of the essentially sharp Markov-type inequality $$\|xP^{\prime}(x)\|_{L_p[0,1]} \leq \left(1/p+12 \left(F{\sum^n_{j=0}} (\lambda_j + 1/p)\right)\right) \|P\|_{L_p[0,1]}$$ for every $P \in \text{span}\{x^{\lambda_0}, x^{\lambda_1}, \ldots, x^{\lambda_n}\}$ with distinct real exponents $\lambda_j$ greater than $-1/p$ and for every $p \in [1, \infty]$. A remarkable corollary of the above is the Nikolskii-type inequality $$\|y^{1/p}P(y)\|_{L_\infty[0,1]} \leq 13 \left({\sum^n_{j=0}} (\lambda_j + 1/p)\right)^{1/p} \|P\|_{L_p[0,1]}$$ for every $P \in \text{\rm span}\{x^{\lambda_0}, x^{\lambda_1}, \ldots, x^{\lambda_n}\}$ with distinct real exponents $\lambda_j$ greater than $-1/p$ and for every $p \in [1, \infty]$. Some related results are also discussed.

MEMBERSHIP

Membership to CARMA offers many benefits and is available by invitation to all University of Newcastle academic staff. Associate membership, also by invitation, is available to external researchers and practitioners for three-year renewable terms. Associate members are expected to visit CARMA with some frequency, typically for a total of three to four weeks in a year, and to be involved in one or more ongoing research projects with CARMA members. CARMA is able to assist with the travel and living costs of such visits.