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, vol.7, no.4, pp.5605-5615, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 7 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.3934/math.2022310
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5605-5615
  • Akdeniz University Affiliated: Yes

Abstract

: 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.