Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A PERTURBED TRAPEZOID INEQUALITY IN TERMS OF THE FOURTH DERIVATIVE

  • Barnett, N.S. (School of Communications and Informatics, Victoria University) ;
  • Dragomir, S.S. (Theory of Inequalities and Applications and is the Editor-in-Chief of the new Electronic Journal JIPAM)
  • Published : 2002.12.01

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Abstract

Some error estimates in terms of the p-norms of the fourth derivative for the remainder in a perturbed trapezoid formula are given. Applications for the expectation of a random variable and the Hermite-Hadamard divergence in Information Theory are also pointed out.

Keywords

References

  1. An Introduction to Numerical Analysis(2nd Ed.) K.E.Atkinson
  2. A perturbed trapezoid inequality in terms of the third derivative and applications N.S.Barnett;S.S.Dragomir
  3. Analytic Computational Methods in Applied Mathematics Trapezoidal type rules from an inequalities point of view P.Cerone;S.S.Dragomir;G.Anastassiou(Ed.)
  4. Studia Math. Hungarica v.2 Information-type measures of difference of probability distributions and indirect observations I.Csiszar
  5. Indian J. Pure Appl. Math. v.31 no.5 Some remarks on the trapezoid rule in numerical integration S.S.Dragomir;P.Cerone;A.Sofo
  6. RGMIA Monographs Inequalities for Casiszar f-divergence in Information Theory S.S.Dragomir(Ed.)
  7. Elec. and Comm. in Japan v.78 no.7 A generalisation of $L_N$ divergence and the derivative of a new information divergence H. Shioya;T. Da-te