Related papers: A note on certain inequalities for bivariate means

A short note on bounds on distance to variety of a point in terms of the Taylor coefficients at the point.

We give an elementary probabilistic proof of a binomial identity. The proof is obtained by computing the probability of a certain event in two different ways, yielding two different expressions for the same quantity.

We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also valid.

New cases of the multiplicity conjecture are considered.

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

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 prove some basic properties of quasinearly subharmonic functions and quasinearly subharmonic functions in the narrow sense.

In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, root-square means, etc. Some new means recently studied are also presented. Different kinds of refinement of inequalities among these means are…

We prove in this note one weight norm inequalities for some positive Bergman-type operators.

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

We consider the Sobolev norms of the pointwise product of two functions, and estimate from above and below the constants appearing in two related inequalities.

We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.

We prove Burkholder inequality using Bregman divergence.

In this note we prove an inequality for t-geometric means that immediately implies the recent results of Audenaert [2] and Hayajneh-Kittaneh [6].

This note presents families of inequalities for the Gaussian measure of convex sets which extend the recently proven Gaussian correlation inequality in various directions.

We prove some special cases of Bergeron's inequality involving two Gaussian polynomials (or $q$-binomials).

Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.

We consider Gini means with short biographical information and propose a new proof of the main inequality for these means. Also some applications of Gini and other means are considered to polymer chemistry.

In this paper, we prove some inequalities for the differences and ratios of the beta function.

The paper presents a counterexample to the Hodge conjecture.