Harmonically (s, P)-Functions and Related Inequalities
Konuralp Journal of Mathematics, cilt.13, sa.2, ss.250-258, 2025 (Scopus)
- 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.