Some new Hermite–Hadamard type inequalities for s-convex functions and their applications
Journal of Inequalities and Applications, cilt.2019, sa.1, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2019 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.1186/s13660-019-2151-2
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Convex function, s-convex function, Hermite-Hadamard type inequality, Holder inequality, Holder-iscan inequality, Integral inequalities, Trapezoidal formula, Special means
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we establish some new integral inequalities of Hermite–Hadamard type for s-convex functions by using the Hölder–İşcan integral inequality. We also compare our new results with the known results and show that the results which we obtained are better than the known results. Finally, we give some applications to trapezoidal formula and to special means.