Related papers: A Note On Andrews Inequality

We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed mean inequality involving the symmetric means.

We prove the stronger version of Harnack's inequality for positive harmonic functions defined on the unit disc.

We modify the proof of the basic lemma of a paper of Saks and Zygmund on additive functions of rectangles.

In this paper we obtain some new refinements and reverses of Young's operator inequality. Extensions for convex functions of operators are also provided.

We give a new proof of the existence of designs, which is much shorter and gives better bounds.

I settle a conjecture of Andrews related to the Alladi-Schur polynomials. In addition, I give further relations and implications to two families of polynomials related to the Alladi-Schur polynomials.

In this paper, we prove that the discrete Copson inequality (E.T. Copson, \emph{Notes on a series of positive terms}, J. London Math. Soc., 2 (1927), 49-51) of one-dimension in general cases admits an improvement. In fact we study the…

In this short note we present some remarks and conjectures on two of Erd\"os's open problems in number theory.

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

A conjecture regarding the structure of expander graphs is discussed.

We extend the classical Copson's inequalities so that the values of parameters involved go beyond what is currently known.

We survey recent developments on the Restriction conjecture.

Certain new inequalities for the sums of factorials are presented.

In this paper we present a new approach to proving some exponential inequalities involving the sinc function. Power series expansions are used to generate new polynomial inequalities that are sufficient to prove the given exponential…

We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.

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 a previous paper, the author proved the existence of extremal function for the Moser-Trudinger inequality on a compact manifold. In the this paper, we will give a new proof of one of the key proposition.

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…

We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.

The article provides a counterexample to a conjecture by Blocki-Zwonek.