In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity. After that, using this identity and with the help of modulus function, Hölder inequality, power mean inequality, ongoing research and the papers mentioned, we have reached our intended midpoint type inequalities. Also, we give the special cases of our results. We see that our special results give earlier works.
Hermite-Hadamard-type inequalities Midpoint-type inequalities Convex functions Riemann-Liouville fractional integrals Tempered fractional integrals.
Birincil Dil | İngilizce |
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Konular | Uygulamalı Matematik (Diğer) |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 28 Aralık 2023 |
Gönderilme Tarihi | 27 Haziran 2023 |
Kabul Tarihi | 1 Aralık 2023 |
Yayımlandığı Sayı | Yıl 2023Cilt: 44 Sayı: 4 |