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

Tınaztepe, GÜLTEKİN; Sezer, SEVDA; Eken, ZEYNEP; Sezer Evcan, SİNEM

doi:10.3934/math.2022310

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

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

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

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.