Related papers: On three problems of Y.--G. Chen
In this paper authors establish the two sided inequalities for the following two new means $$X=X(a,b)=Ae^{G/P-1},\quad Y=Y(a,b)=Ge^{L/A-1}.$$ As well as many other well known inequalities involving the identric mean $I$ and the logarithmic…
We hope here to provide the community with a convenient account of our viewpoint on the claims made by Chen et al. about our results on two-dimensional polar flocks.
We improve constants in the Rademacher-Menchov inequality.
In this paper, two open questions on strong $b$-metric spaces posed by Kirk and Shahzad [11, Chapter 12] are investigated. A counter-example is constructed to give a negative answer to the first question, and a theorem on the completion of…
Using Easton collapses, we give a simplified construction of a model in which Chang's Conjecture for triples holds.
We prove several extensions of the Erdos-Fuchs theorem.
In this paper, we study the existence and nonexistence of positive solutions for a coupled elliptic system with critical exponent and logarithmic terms. The presence of the the logarithmic terms brings major challenges and makes it…
We address the three points raised by the authors of the above Comment.
Several problems concerning separable states are clarified on the basis of Choi's scheme and old Kadison and Tomiyama results. Moreover, we generalize Terhal's construction of positive maps.
The question raised by [Bastin and Martin 2003 J. Phys. B: At. Mol. Opt. Phys. 36, 4201] is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques…
We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.
This short note collects three open questions on cut groups (a class of groups generalizing rational groups).
We obtain simple proofs of certain inequalites for bivariate means.
In what follows we improve an inequality related to matrix theory. T. Laffey proved (2013) a weaker form of this inequality [2].
We consider some critical claims concerning our above paper, and reply to these claims.
The new paper will be submitted.
The paper presents a counterexample to the Hodge conjecture.
In this note we briefly survey and propose some open problems related to isoparametric theory.
I reply to a Comment by Q. Wang and W.G. Unruh regarding my paper "Hiding the Cosmological Constant" [Phys. Rev. Lett. 123, 131302].
Involutive non-degenerate set theoretic solutions of the Yang-Baxter equation are considered, with a focus on finite solutions. A rich class of indecomposable and irretractable solutions is determined and necessary and sufficient conditions…