Journal of applied mathematics & informatics

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

DOUBLE INTEGRAL INEQUALITIES OF SIMPSON TYPE AND APPLICATIONS

  • Published : 2004.01.01

⟨ Previous Next ⟩

Abstract

Double integral inequalities of Simpson type are obtained. These inequalities are sharp. Applications in numerical integration are given.

Keywords

References

  1. Korean J. Comput. & Appl. Math. v.9 no.1 A perturbed trapezoid inequality in terms of the fourth derivative N. S. Barnett;S. S. Dragomir
  2. Korean J. Comput. & Appl. Math. v.9 no.2 On perturbed trapezoidal and midpoint rules P. Cerone
  3. Nonlinear Anal. Theory Methods Appl. v.47 no.4 Three points rules in numerical integration P. Cerone
  4. Handbook of Analytic-Computational Methods in Applied Mathematics Midpoint-type Rules from an Inequalities Point of View P. Cerone;S. S. Dragomir;G. Anastassiou(ed.)
  5. Handbook of Analytic-Computational Methods in Applied Mathematics Trapezoidal-type Rules from an Inequalities Point of View P. Cerone;S. S. Dragomir;G. Anastassiou(ed.)
  6. J. Inequal. Appl. v.5 On Simpson's inequality and applications S. S. Dragomir;R. P. Agarwal;P. Cerone
  7. Appl. Math. Lett. bf v.13 A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means S. S. Dragomir;P. Cerone;J. Roumeliotis
  8. Math. Comput. Modelling v.31 The unified treatment of trapezoid, Simpson and Ostrowski type inequalities for monotonic mappings and applications S. S. Dragomir;J. Pecaric;S. Wang
  9. Basel/Stuttgart Quadrature formulae A. Ghizzetti;A. Ossicini
  10. Computational integration A. R. Krommer;C. W. Ueberhuber
  11. Inequalities involving functions and their integrals and derivatives D. S. Mitrinovic;J. Pecaric;A. M. Fink
  12. Math. Inequal. Appl. v.3 no.1 Generalizations of some inequalities of Ostrowski-Gruss type C. E. M. Pearce;J. Pecaric;N. Ujevic;S. Varosanec
  13. Acta Math. Univ. Comenianae v.71 no.2 Some double integral inequalities and applications N. Ujevic