𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotonic functions and an inequality of Myerson on point distributions

✍ Scribed by Reinhard Winkler

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
477 KB
Volume
6
Category
Article
ISSN
0019-3577

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An Extension of a Convolution Inequality
An Extension of a Convolution Inequality forG-Monotone Functions and an Approach to Bartholomew's Conjectures
✍ Manabu Iwasa πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 1023 KB

A variety of convolution inequalities have been obtained since Anderson's theorem. In this paper, we extend a convolution theorem for G-monotone functions by weakening the symmetry condition of G-monotone functions. Our inequalities are described in terms of several orderings obtained from a cone. I

On an Inequality of ErdΕ‘s and TurΓ‘n Conc
On an Inequality of ErdΕ‘s and TurΓ‘n Concerning Uniform Distribution Modulo One, II
✍ I.Z. Ruzsa πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 126 KB

A famous inequality of ErdΓΆs and TurΓ‘n estimates the discrepancy \(\Delta\) of a finite sequence of real numbers by the quantity \(B=\min _{K} K^{-1}+\sum_{k=1}^{K-1}\left|\alpha_{k}\right| / k\), where the \(\alpha_{k}\) are the Fourier coefficients. We investigate how bad this estimate can be. We