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On a Reverse Hardy-Hilbert's Inequality

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This paper deals with a reverse Hardy Hilbert’s inequality with a best constant factor by introducing two parameters  and . We also consider the equivalent form and the analogue integral inequalities. Some particular results are given.

Abstract

This paper deals with a reverse Hardy Hilbert’s inequality with a best constant factor by introducing two parameters  and . We also consider the equivalent form and the analogue integral inequalities. Some particular results are given.

참고문헌 (9)

  1. "On a best value of Hardy-Hilbert’s inequality", 26(2), pp.159~164 (1997)
  2. "On extended Hilbert’s inequality", 126(3), pp.751~759 (1998)
  3. "On generalizations of Hardy-Hilbert’s inequality and their equivalent form", 24(1), pp.24~30 (2004)
  4. "On an extension of Hardy-Hilbert’s inequality", 23A(2), pp.247~254 (2002)
  5. "On the way of weight coefficient and research for the Hilbert-type inequalities", 6(4), pp.625~658 (2003)
  6. "On inverse of disperse and continuous Pachpatte’s inequalities", 46(6), pp.1111~1116 (2004)
  7. "A generalization of Hardy-Hilbert’s integral inequality with a best constant factor", 21A(4), pp.401~408 (2000)
  8. "An introduction to special functions" (1979), Since Press
  9. "Research supported by the Science Foundation of Professor and Doctor of Guangdong Institute of Education" (1993), Hunan Education Press

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