Multiplicative Harmonic P-Functions With Some Related Inequalities
Journal of Function Spaces, cilt.2025, sa.1, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2025 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.1155/jofs/2753913
- Dergi Adı: Journal of Function Spaces
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler: Hermite-Hadamard inequality, log-convex function, multiplicative calculus, multiplicative harmonic P-function
- Kırklareli Üniversitesi Adresli: Evet
Özet
This manuscript includes the investigation of the idea of a multiplicative harmonic P-function and construction of the Hermite–Hadamard inequality for such a sort of functions. We also establish several Hermite–Hadamard type inequalities in the setting of multiplicative calculus. Furthermore, we establish upper bounds for such a particular set of functions. Our conclusions are validated by presenting suitable examples with graphs. Through the analysis of this specific class of convex functions, our aim is to reveal novel mathematical viewpoints, characteristics, and relationships that can improve the advancement of more robust mathematical methodologies. Findings from this study contributes to the development of mathematical tools across a wide range of scientific disciplines.