Related papers: Combinatorial inequalities

Two-page paper on the notion of cost of groups and measured equivalence relations to appear in the "What is?" series in the Notices of the AMS.

Equivalencies of many basic elementary inequalities are given

We prove some extensions of Andrews inequality.

In this report, we aim to exemplify concentration inequalities and provide easy to understand proofs for it. Our focus is on the inequalities which are helpful in the design and analysis of machine learning algorithms.

This article offers different proofs of ten inequalities from those already published. So that the readers can see for themselves, the tasks specified in the condition of the source and classical inequalities which used in previously…

We improve constants in the Rademacher-Menchov inequality.

In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.

This text contains over three hundred specific open questions on various topics in additive combinatorics, each placed in context by reviewing all relevant results. While the primary purpose is to provide an ample supply of problems for…

The results of this paper have been subsumed by those of our new paper arXiv:0910.1858

This is an expanded version of the Maskit memorial tribute that appeared in the August 2025 issue of the Notices of the AMS.

Herein we present one hundred inequalities culled from various corners of the probability, statistics, and combinatorics literature. We welcome new suggestions.

The present paper is devoted to the study of Jensen-Mercer-type inequalities. Our results generalize and improve some earlier results in the literature.

In this supplementary appendix we provide additional results, omitted proofs and extensive simulations that complement the analysis of the main text (arXiv:1201.0224).

This set of notes re-proves known results on weighted automata (over a field, also known as multiplicity automata). The text offers a unified view on theorems and proofs that have appeared in the literature over decades and were written in…

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

These informal notes are concerned with sums and averages in various situations in analysis.

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

The purpose of this paper is to provide a random version of Simons' inequality.

This paper has two clear motivations: a technical and a practical. The technical motivation unifies in a single and crystal clear formulation a huge family of inequalities that have been produced separately in the last 90 years in different…

These informal notes deal with a number of questions related to sums and integrals in analysis.