Abstract
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.
Keywords
Hermite-Hadamard Inequality Midpoint Inequality Trapezoid Inequality Ostrowski Inequality Convex Function Concave Functions Special Means QuadratureRules
References
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Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | June 1, 2016 |
| Published in Issue | Year 2016 Volume: 45 Issue: 3 |