Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

HADAMARD AND DRAGOMIR-AGARWAL INEQUALITIES, HIGHER-ORDER CONVEXITY AND THE EULER FORMULA

  • Dedic, Lj. (Department of Mathematics University of Split) ;
  • Pearce, C.E.M. (Applied Mathematics Department University of Adelaide) ;
  • Pecaric, J. (Applied Mathematics department University of Adelaide)
  • Published : 2001.11.01
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Abstract

We obtain bounds relating to Eulers formula for the case of a function with higher-order convexity properties. These are used to derive estimates of the error involved in the use of the trapezoidal formula for integrating such a function.

Keywords

References

  1. Handbookof Mathmatical Functions M. Abramowitz;I. A. Stegun
  2. Computing Methods v.Ⅰ I. S. Berezin;N. P. Zhidkov
  3. Appl. Math. Lett. v.11 no.5 Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula S. S. Dragomir;R. P. Agarwal
  4. Appl. Math. Lett. v.13 Inequalities for differentiable mapping with application to special means and quadrature formulae C. E. M. Pearce;J. Pecaric