Related papers: Note on the Chen-Lin result with Li-Zhang method

We prove that the Lalescu sequence is monotonically decreasing.

We give a short and self-contained proof of Levi's Extension Lemma for pseudoline arrangements.

We extend a result of Levin and Ste\v{c}kin concerning an inequality analogous to Hardy's inequality.

We show that Pinney's equation [2] with a constant coefficient can be reduced to its linear part by a simple change of variables. Also, Pinney's original solution is simplified slightly.

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

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

We announce here that Fermat's Last theorem was solved, but there is an easy proof of it on the basis of elemetary undergraduate mathematics. We shall disclose such an easy proof.

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

A proof is given of Rosenthal's \(\ell_1\) theorem.

We give a new proof of the butterfly theorem, based on the use of several expressions involving the scale factor between the two wings.

In this note, we disprove two Romanov type conjectures posed by Chen.

In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.

We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations.

We prove a stability version of the Pr\'ekopa-Leindler inequality.

This Note revisits the Leibnitz integral calculus method based on differentiation under the integral sign with respect to a parameter either already existing or introduced ad hoc. Through several cases exemplifying the method, it is shown…

In \cite{Nam} Nam proved a Lieb--Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with…

We present some further results on Liouville type theorems for some conformally invariant fully nonlinear equations.

In this note, we prove a quantization formula for singular reductions. The main result is obtained as a simple application of an extended quantization formula proved in [TZ2].

By some new recursive algorithms, in this paper, we will give some improvements on Waring's problem.

We prove Union-Closed sets conjecture.