Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions
Filomat, cilt.37, sa.28, ss.9777-9789, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 28
- Basım Tarihi: 2023
- Doi Numarası: 10.2298/fil2328777o
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.9777-9789
- Anahtar Kelimeler: Hermite-Hadamard inequality, exponential type multiplicatively convex functions, multiplicative calculus
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class of functions. We also established new Hermite-Hadamard type inequalities for the product and quotient of exponential type multiplicatively convex functions. In addition, we obtained new multiplicative integral-based inequalities for the quotient and product of exponential type multiplicatively convex functions and convex functions. The results in this study could potentially inspire further research in various scientific fields.