ON IYENGAR-TYPE INEQUALITIES VIA QUASI-CONVEXITY AND QUASI-CONCAVITY

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Ozdemir M. E.

MISKOLC MATHEMATICAL NOTES, vol.15, no.1, pp.171-181, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.18514/mmn.2014.644
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.171-181
  • Keywords: weighted Holder inequality, Holder inequality, power-mean inequality, differentiable function, quasi-convex function, HERMITE-HADAMARD-TYPE, (K
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the trapezoidal formula are given. Applications for special means are also provided.