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

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Ozdemir M. E.

MISKOLC MATHEMATICAL NOTES, cilt.15, sa.1, ss.171-181, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.18514/mmn.2014.644
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.171-181
  • Anahtar Kelimeler: weighted Holder inequality, Holder inequality, power-mean inequality, differentiable function, quasi-convex function, HERMITE-HADAMARD-TYPE, (K
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.