In this paper, we shall establish some extended trapezoid-type
$$\bigg|\dfrac{c-a}{b-a}f(x)+\dfrac{b-c}{b-a}f(y)-\dfrac{1}{b-a}\int_a^bf(t)dt\bigg|,\:(a\leq x\leq c\leq y\leq b)$$
inequalities for differentiable convex functions and differentiable concave functions which are connected with Hermite-Hadamard inequality. Some error estimates for the midpoint, trapezoidal and Ostrowski formulae are also given.
Hermite-Hadamard Inequality Midpoint Inequality Trapezoid Inequality Ostrowski Inequality Convex Function Concave Functions Special Means QuadratureRules
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Haziran 2016 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 45 Sayı: 3 |