Related papers: A note on certain inequalities for bivariate means

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

We establish an inequality of different metrics for algebraic polynomials.

In this note, we derive non trivial sharp bounds related to the weighted harmonic-geometric-arithmetic means inequalities, when two out of the three terms are known. As application, we give an explicit bound for the trace of the inverse of…

There are several versions of Bell's inequalities, proved in different contexts, using different sets of assumptions. The discussions of their experimental violation often disregard some required assumptions and use loose formulations of…

In this note, we find a new way to prove several properties of 2-alternating capacities.

Short nonstandard proofs are given for some results about infinite systems of equations in infinitely many variables.

In the paper, by finding linear relations of differences between some means, the authors supply a unified proof of some double inequalities for bounding Neuman-S\'andor means in terms of the arithmetic, harmonic, and contra-harmonic means…

Some proofs of the problems of the basic statistics proposed for numeric symbolic data.

In this paper we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent…

We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.

It is shown that the formula for the variance of combined series yields surprisingly simple proofs of some well known variance bounds.

In this letter, we prove an inequality involving alternating binomial logarithmic sums by exploiting the variance of the logarithm of the maximum of independent and identically distributed exponential random variables. This inequality was…

In this article we derive some polynomial inequalities for Mertens functions.

Inequalities for norms of different versions of the geometric mean of two positive definite matrices are presented.

Some inequalities for different types of convexity are established.

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

We prove an easy statement about inhomogeneous approximation in metric theory of Diophantine Approximation.

The purpose of the paper is to present an short proof of the Chuang's inequality.