engleski

Generalization of Bullen-Simpson's 3/8 inequality

Generalization of Bullen-Simpson's 3/8 inequality for (2r)-convex functions is given, by using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, are proved.

Bullen-Simpson's 3/8 inequality; quadrature formulae; functions of bounded variation; Lipschitzian functions.

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