equivalent inequality
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Author(s):  
Zi Tian Xie ◽  
K. Raja Rama Gandhi ◽  
Zeng Zheng

In this paper,we build a new Hilbert's inequality with the homogeneous kernel of real order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using ψ function.


Author(s):  
Zi Tian Xie ◽  
K. Raja Rama Gandhi ◽  
Zeng Zheng

In this paper,we build a new Hilbert's inequality with the homogeneous kernel of real order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using ψ function.


Author(s):  
Zi Tian Xie ◽  
K. Raja Rama Gandhi ◽  
Zeng Zheng

In this paper, we build a new Hilbert's inequality with the homogeneous kernel of real order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using ψ function.


2007 ◽  
Vol 48 (4) ◽  
pp. 523-532 ◽  
Author(s):  
Feng Qi

AbstractIn this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sums is found, and an equivalent relation between complete monotonicity and one of the class of inequalities is established.


1998 ◽  
Vol 29 (1) ◽  
pp. 59-64
Author(s):  
SORINA BARZA ◽  
EMIL C. POPA

We prove a generalizatin of Cadson's inequality. We improve a previous equivalent inequality of Carlson's inequality and give some examples.


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