NEW EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITIES INVOLVING RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS
MISKOLC MATHEMATICAL NOTES, cilt.21, sa.2, ss.665-678, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.18514/mmn.2020.3073
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.665-678
- Hatay Mustafa Kemal Üniversitesi Adresli: Hayır
Özet
In this study, we establish the above and below bounds for the left and right hand sides of fractional Hermite-Hadamard inequalities by using functions whose second derivatives are bounded. We also give some refinements of fractional Hermite-Hadamard inequalities by using the functions that have the conditions f'(a + b - t) - f'(t) >= 0, t is an element of [a, a+b/2].