Haifeng Xu

activity

20132017

most citedThe largest cycles consist by the quadratic residues and Fermat primes

2 citations · 3 across the 7 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.CA2014

Note on the Hölder norm estimate of the function $x sin (1/ x)$

Jiaqiang Mei, Haifeng Xu

In this paper, we prove the following inequality: for any $x, y > 0$ , there holds $x sin \frac{1}{x} - y sin \frac{1}{y} \leq 2∣ x - y ∣ .$

math.NT2014★ 1 cited

Periodicity related to a sieve method of producing primes

Haifeng Xu, Zuyi Zhang, Jiuru Zhou

In this paper we consider a slightly different sieve method from Eratosthenes' to get primes. We find the periodicity and mirror symmetry of the pattern.

math.CA2014

The limit of the m-norms of a class of symmetric matrices and its applications

Haifeng Xu, Binxian Yuan, Zuyi Zhang +1

We consider a special symmetric matrix and obtain a similar formula as the one obtained by Weyl's criterion. Some applications of the formula are given, where we give a new way to…

Note on the Hölder norm estimate of the function xsin(1/x)

Periodicity related to a sieve method of producing primes

The limit of the m-norms of a class of symmetric matrices and its applications

Note on the Hölder norm estimate of the function $x sin (1/ x)$