Some integral inequalities via new generalized harmonically convexity

Baidar A. W., Şanlı Z., KUNT M.

Mathematical Methods in the Applied Sciences, cilt.46, sa.16, ss.17226-17241, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 16
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mma.9496
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.17226-17241
  • Anahtar Kelimeler: convexity, harmonic convexity, Hermite–Hadamard inequality
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we present a new generalized class of harmonically convex functions and discuss some of their algebraic properties. Furthermore, we establish some Hermite–Hadamard-type inequalities via new generalized harmonically convexity. As applications of the findings in this study, some particular cases are described.