The Hermite-Hadamard inequalities for p-convex functions

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Eken Z., Kemali S., Tınaztepe G., Adilov G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.50, no.5, pp.1268-1279, 2021 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 50 Issue: 5
  • Publication Date: 2021
  • Doi Number: 10.15672/hujms.775508
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1268-1279
  • Keywords: Hermite-Hadamard inequality, convex set, convex function, p-convex function
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, the Hermite-Hadamard inequality for p-convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of p-convex sets, the new functions are defined and under certain conditions, p-convexity of these functions are shown. Some inequalities for these functions are ex-pressed.