The Hermite-Hadamard Type Inequalities for p- Convex Functions

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

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.2, ss.377-386, 2021 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.377-386
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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 expressed.