The Hermite-Hadamard inequality for s-Convex functions in the third sense

SEZER S.

AIMS MATHEMATICS, vol.6, no.7, pp.7719-7732, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.3934/math.2021448
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.7719-7732
  • Keywords: Hermite-Hadamard inequality, convex set, convex function, s-convex function in the third sense
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, the Hermite-Hadamard inequality for s-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of s-convex functions in the third sense are defined and under certain conditions, the third sense s-convexity of these functions are shown and some inequality relations for these are expressed.