Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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MILNE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS

  • Djenaoui, Meriem (Universite de Batna -2-) ;
  • Meftah, Badreddine (Departement des Mathematiques, Faculte des mathematiques, de l'informatique et des sciences de la matiere)
  • Received : 2021.12.04
  • Accepted : 2022.07.29
  • Published : 2022.09.01
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Abstract

In this paper, a new identity is given. On the basis of this identity, we establish some new estimates of Milne's quadrature rule, for functions whose first derivative is s-convex. We discuss the cases where the derivatives are bounded as well as Lipschitzian. Some illustrative applications are given.

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References

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