On Hermite-Hadamard Inequality for s-convex Functions in the Fourth Sense and Its Applications

KEMALİ S.

WSEAS Transactions on Mathematics, cilt.24, ss.443-449, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24
  • Basım Tarihi: 2025
  • Doi Numarası: 10.37394/23206.2025.24.42
  • Dergi Adı: WSEAS Transactions on Mathematics
  • Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.443-449
  • Anahtar Kelimeler: Abstract convex functions, Beta function, Convex functions, Digamma function, Hermite-Hadamard inequality, Integral inequalities, Logaritmic integral functions, s-Convex functions in the fourth sense, s-Convexity
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this article, a generator function is given for s-convex functions in the fourth sense, and then the Hermite-Hadamard type inequality is obtained for s-convex functions in the fourth sense. Using the generator function and the Hermite-Hadamard type inequality, some implementations of the results are given, including some inequality relations between the generalized logarithmic mean itself and other averages, as well as some inequalities for the digamma, beta function, and logarithmic integral function.