engleski

Euler-Maclaurin formulae

A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, is proved by applying the Euler-Maclaurin formulae. The results are applied to obtain some error estimates for the Maclaurin quadrature rules.

Euler-Maclaurin formulae; quadrature formulae; functions of bounded variation; Lipschitzian functions

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