Harmonically (s, P)-Functions and Related Inequalities

Aydın M., Set E., İşcan İ.

Konuralp Journal of Mathematics, cilt.13, sa.2, ss.250-258, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2025
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.250-258
  • Anahtar Kelimeler: (s,P)-function, harmonically(s,P)-function, Hermite-Hadamard inequality, s-convex function
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and investigate the concept of harmonically (s, P)-functions and establish Hermite-Hadamard type inequalities for this class of functions. In addition, we derive new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are harmonically (s, P)-functions, by employing Hölder’s inequality and the power-mean inequality. Furthermore, we present some new inequalities related to special means of real numbers.