Some Inequalities for Random Variables whose Probability Density Functions are Bounded Using an Improvement of Grüss Inequality

  • Hwang, Dah-Yan (Department of Information Management, Northern Taiwan Institute of Science and Technology)
  • Received : 2004.04.13
  • Published : 2005.09.23

Abstract

Some recent inequalities for expectation and cumulative distribution function are improved.

Keywords

References

  1. Computers and Mathematics Applications v.43 Some inequalities for probability, expectation and variance of random variable defined over a finite interval Barnett, N.B.;Dragomir, S.S.
  2. Kyungpook Math. J. v.39 no.2 An inequality of Ostrowki's type for cumulative distribution functions Barnett, N.B.;Dragomir, S.S.
  3. Kyungpook Math. J. v.40 no.2 Some inequalities for random variables whose probability density functions are bounded using a pre-Gruss inequality Barnett, N.B.;Dragomir, S.S.
  4. RGMIA Research Report Collection v.5 no.2 A refinement of the Gruss inequality and applications Cerone, P.;Dragomir, S.S.
  5. Journal of Inequalities in Pure and Applied Mathematics v.3 no.2 A note on the perturbed trapesiod inequality Cheng, X.L.;Sun, J.