Open AccessThe Ostrowski inequality for $ s $-convex functions in the third sense
Author(s) -
Gültekin Tınaztepe,
AUTHOR_ID,
Sevda Sezer,
Zeynep Eken,
Sinem Sezer Evcan,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022310
Subject(s) - mathematics , convex function , quadrature (astronomy) , inequality , regular polygon , pure mathematics , sense (electronics) , mathematical analysis , geometry , physics , optics , electrical engineering , engineering
In this paper, the Ostrowski inequality for $ s $-convex functions in the third sense is studied. By applying Hölder 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.