The Ostrowski inequality for s-convex functions in the third sense

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Tınaztepe G., Sezer S., Eken Z., Sezer Evcan S.

AIMS MATHEMATICS, cilt.7, sa.4, ss.5605-5615, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/math.2022310
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5605-5615
  • Akdeniz Üniversitesi Adresli: Evet

Özet

: In this paper, the Ostrowski inequality for s-convex functions in the third sense is studied. By applying Holder and power mean integral inequalities, the Ostrowski inequality is obtained for the ¨ functions, the absolute values of the powers of whose derivatives are s-convex in the third sense. In addition, by means of these inequalities, an error estimate for a quadrature formula via Riemann sums and some relations involving means are given as applications.