In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for the product two differentiable functions whose derivatives absolute values are $s$-convex. Some natural applications to special weighted means of real numbers are given. Finally, an error estimate for the Simpson's formula is also addressed.
Hermite-Hadamard inequality differentiable functions $s$-convex functions convex functions
Konular | Mühendislik |
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Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2017 |
Gönderilme Tarihi | 19 Şubat 2017 |
Kabul Tarihi | 15 Aralık 2016 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 5 Sayı: 1 |