engleski

Sharp integral inequalities based on General Euler two-point formulae

We consider a family of two-point quadrature formulae, using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or $R$-integrable functions, are proved

general two-pointformulae; functions of bounded variation; Lipschitzian functions; $L^{;;;;;; p};;;;;; $ estimates

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