12 citations · 16 across the 5 of their papers we have counts for
5 papers
Fourier Cosine and Sine Transform on fractal space
Guang-Sheng Chen
In this paper, we establish local fractional Fourier Cosine and Sine Transforms on fractal space, considered some properties of local fractional Cosine and Sine Transforms, show ap…
Generalizations of Holder's and some related integral inequalities on fractal space
Guang-Sheng Chen
Based on the local fractional calculus, we establish some new generalizations of Hölder's inequality. By using it, some results on the generalized integral inequality in fractal sp…
A generalized Young inequality and some new results on fractal space
Guang-Sheng Chen
Starting with real line number system based on the theory of the Yang's fractional set, the generalized Young inequality is established. By using it some results on the generalized…
Some new Inequalities of Hardy-Hilbert Type with general kernel
Guang-Sheng Chen
In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particul…
On an improvement of the Hardy-Hilbert type inequality
Guang-Sheng Chen
In this paper, by estimating the weight coefficient effectively, we establish an improvement of a Hardy-Hilbert type inequality proved by B.C. Yang, our main tool is Euler-Maclauri…