1. A New Hilbert-Type Inequality
- Author
-
Bicheng Yang
- Subjects
Kantorovich inequality ,Hölder's inequality ,Pure mathematics ,Young's inequality ,General Mathematics ,Mathematical analysis ,weight coefficient ,Linear inequality ,Beta function ,Hilbert's inequality ,26D15 ,Chebyshev's inequality ,Log sum inequality ,Rearrangement inequality ,Cauchy–Schwarz inequality ,Mathematics - Abstract
This paper deals with a new Hilbert- type inequality by introducing a parameter and the Beta function. As applications, the equivalent form, the reversions and some particular results are considered. All the theorems provide some new estimates on this type of inequalities.
- Published
- 2006