Related papers: A simple proof of the Chuang's inequality

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

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

In this short paper we show that the inequality of arithmetic and geometric means is reduced to another interesting inequality, and a proof is provided.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

In this note we study how to share a good between n players in a simple and equitable way. We give a short proof for the existence of such fair divisions.

In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

We obtain simple proofs of certain inequalites for bivariate means.

The aim of this note is to show that Poincar\'e inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar\'e inequalities are considered, too. The proof is short and does not involve covering…

In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.

The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.

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 provide a short proof of the 1-dimensional flat chain conjecture.

A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.

We give a pen and paper and (comparatively) much simpler proof to verify of the Four Colour Theorem.

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

We prove some extensions of Andrews inequality.

Extending the idea in [Impagliazzo, R., Moore, C. and Russell, A., An entropic proof of Chang's inequality. SIAM Journal on Discrete Mathematics, 28(1), pp.173-176.] we give a short information theoretic proof for Chang's lemma that is…

In this paper,we will give an easy example to satisfy that we can not conclude CDE' Inequality just from the CD Inequality.

The aim of this work is to improve Wilker inequalities near the origin and {\pi}/2.