Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities
Symmetry, cilt.17, sa.10, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 10
- Basım Tarihi: 2025
- Doi Numarası: 10.3390/sym17101657
- Dergi Adı: Symmetry
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Anahtar Kelimeler: convex function, multiplicative trigonometric convexity, multiplicative calculus, integral inequalities
- Kırklareli Üniversitesi Adresli: Evet
Özet
A novel category of convex functions, termed multiplicatively trigonometric convex functions, are introduced in this paper. We explore their algebraic characteristics and establish connections between such functions and other forms of convex functions. We even show that these functions are symmetric with respect to their components. Furthermore, we prove the Hermite–Hadamard inequality for the mentioned category of functions. In addition, we present new structures of the Hermite–Hadamard inequality within the framework of multiplicative integrals. By broadening these inequalities, the purpose is to reveal some properties and relations that help the advancement of more robust mathematical techniques.