Symmetrical Hermite–Hadamard type inequalities stemming from multiplicative fractional integrals
Chaos, Solitons and Fractals, cilt.183, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 183
- Basım Tarihi: 2024
- Doi Numarası: 10.1016/j.chaos.2024.114960
- Dergi Adı: Chaos, Solitons and Fractals
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Hermite-Hadamard's inequality, Multiplicative Riemann-Liouville fractional integrals, Multiplicative differentiable functions
- Kırklareli Üniversitesi Adresli: Evet
Özet
We firstly study ∗integrability and commutativity for multiplicative fractional integrals with exponential kernels, proposed by Peng et al. (2022). Secondly, making use of such operators, we present a symmetrical multiplicative fractional integrals identity. Based on it, and the fact that the function T∗ is multiplicatively convex or the function (lnT∗)θ is convex for θ>1, especially pondering the case of 0<θ≤1, we establish the symmetrical Hermite–Hadamard type inequalities for multiplicative convexity. We also give some applications in special means under multiplicative calculus.