engleski

Generalisation of corrected Simpson's formula

The results obtained by A.J.Roberts and N.Ujevic are generalized. A number of inequalities for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or R-integrable functions are derived. Also, some error estimates for the derived formulae are obtained.

three-point quadrature formulae; corrected Simpson's formula; functions of bounded variation; Lipschitzian functions

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