Iosif Pinelis published the paper “Rosenthal-Type Inequalities for Martingales in 2-Smooth Banach Spaces, in Theory of Probability & Its Applications,” Volume 59, Issue 4, 699-706. The abstract of the paper is available here.
Jiguang Sun received a $144,996 grant from the National Science Foundation for a research and development project titled, Finite Element Methods for High Order Eigenvalue Problems. This is a three-year project.
Iosif Pinelis published a paper, “Characteristic function of the positive part of a random variable and related results, with applications,” in Statistics and Probability Letters, Vol. 106 (2015), pp. 281-286.
Iosif Pinelis published two papers:
1. “Best possible bounds of the von Bahr–Esseen type”, in Annals of Functional Analysis, Volume 6, Number 4 (2015), 1–29. Read the abstract.
2. “On the Hölder and Cauchy–Schwarz Inequalities”, in The American Mathematical Monthly, Vol. 122, No. 6, 593–595, which can be found and read on Mathematical Association of America’s website.
Iosif Pinelis presented, “Exact Rosenthal-type bounds”, at the European Meeting of Statisticians held in Amsterdam last week. The talk was based on the paper with the same title.
Pinelis also organized and chaired the session, “Inequalities and Extremal Problems in Probability and Statistics” at this meeting.
Professor Iosif Pinelis (Math) published a paper, “Relationships Between the First Four Moments”, in the American Mathematical Monthly 122 (2015) 479–481, which is available to read online.
Professor Iosif Pinelis (Math) published Exact Upper and Lower Bounds on The Difference Between The Arithmetic and Geometric Means, on Cambridge Journals Online Bulletin of the Australian Mathematical Society, first view;
You can read the paper.
Nick Trefethen of Oxford University will deliver a lecture
“Discrete or Continuous?” at 5:05 p.m. on Monday, April 27, in Fisher 325.
Trefethen has received many honors for this research in Numerical Analysis:
He is past-president of the Society for Industrial and Applied Mathematics and he has the distinction of being the first customer to buy a copy of Matlab.
Trefethen describes his talk as follows: “As old as any issue in science and mathematics is the polarity between discrete and continuous. The details change from century to century, but a synthesis still challenges us. In this talk I will comment on some of the long history and current state of interplay between these two ways of thinking.”
The public is welcome.
Professor Iosif Pinelis (Math) published a paper, “Exact Bounds on the Closeness Between the Student and Standard Normal Distributions,” in the journal Probability and Statistics, 2015, 19, 24-27. The abstract is available. A preliminary version of this article is available as well.
