Hermite-Hadamard’s inequalities for conformable fractional integrals

---

Sarıkaya M. Z., Akkurt A., BUDAK H., Yıldırım M. E., Yıldırım H.

International Journal of Optimization and Control: Theories and Applications, cilt.9, sa.1, ss.49-59, 2019 (Scopus, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 9 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.11121/ijocta.01.2019.00559
• Dergi Adı: International Journal of Optimization and Control: Theories and Applications
• Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.49-59
• Anahtar Kelimeler: Confromable fractional integrals, Fractional derivative, Hölder’s inequality, Midpoint inequality, Trapezoid inequality
• Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we establish the Hermite-Hadamard type inequalities for conformable fractional integral and we will investigate some integral inequalities connected with the left and right-hand side of the Hermite-Hadamard type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works and we show that some of our results are better than the other results with respect to midpoint inequalities.