Related papers: A Note On Andrews Inequality

In this paper, by making use of one of Chen's theorems and the method of mathematical analysis, we refine Edwards-Child's inequality and solve a conjecture posed by Liu.

In this paper we provide a family of inequalities, extending a recent result due to Albuquerque et al.

We show that the intuitionistic first-order theory of equality has continuum many complete extensions. We also study the Vitali equivalence relation and show there are many intuitionistically precise versions of it.

Some extensions of an inequality from IMO'2001 are proven by means of the Lagrange multiplier criterion.

We provide an alternating proof of sharp inequalities related with Burnside's formula for $n!$

In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.

We give a very short proof of the Golden-Thompson inequality

We prove Burkholder inequality using Bregman divergence.

In this paper we give one extension of Barrow's type inequality in the plane of the triangle ABC introduce signed angle bisectors.

We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.

In this note I provide two extensions of a particular case of the classical Poncelet theorem.

We prove some statements of left- and right-continuous variants of generalized inverses of non-decreasing real functions.

In this paper we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents as well as inequalities with certain polynomial exponents. Also, we establish intervals in which…

We consider strictly increasing sequences $\left(a_{n}\right)_{n \geq 1}$ of integers and sequences of fractional parts $\left(\left\{a_{n} \alpha\right\}\right)_{n \geq 1}$ where $\alpha \in \mathbb{R}$. We show that a small additive…

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

Talagrand's fundamental result on the entropy numbers is slightly improved. Our proof uses different ideas based on results from greedy approximation.

We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we can rederive known doubly weighted Hardy inequalities. Our…

We offer some new applications of an extension of Abel's lemma, as well as its more general form established by Andrews and Freitas. A nice connection is established between this lemma and series involving the Riemann zeta function.

Work in progress concerning alternative formalizations of arithmetic.

We extend the inequality of Audenaert et al to general von Neumann algebras.