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Points accessible in average by rearrangement of sequences

Attila Losonczi

Abstract

We investigate the set of limit points of averages of rearrangements of a given sequence. We study how the properties of the sequence determine the structure of that set and what type of sets we can expect as the set of such accessible points.

Points accessible in average by rearrangement of sequences

Abstract

We investigate the set of limit points of averages of rearrangements of a given sequence. We study how the properties of the sequence determine the structure of that set and what type of sets we can expect as the set of such accessible points.

Paper Structure

This paper contains 8 sections, 80 equations.

Table of Contents

  1. Introduction
  2. Basic notions and notations
  3. Brief summary of the main results
  4. More on the basic concept
  5. Generalizing previous results
  6. Sequences composed of two sequences, one tending to $+\infty$, the other tending to $-\infty$
  7. Summary of all cases
  8. On accumulation points

Theorems & Definitions (17)

  • proof
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  • ...and 7 more