Samet Erden

On The Hermite- Hadamard-Fejér Type Integral Inequality for Convex Function

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard-Fejer type inequality for functions whose first derivatives absolute values are s-convex.The results presented here would provide extensions of those given in earlier works.

Generalized Pompeiu type inequalities for local fractional integrals and its applications

First of all, the generalized Pompeius mean value theorem is established. Then, some generalized Pompeiu type inequalities are obtained. Finally, some applications of these inequalities in numerical integration and for special means are given.

An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications

We establish an Ostrowski type inequality for mappings whose second derivatives are bounded, then some results of this inequality that are related to previous works are given. Finally, some applications of these inequalities in numerical integration and for special means are provided.

Grüss type inequalities for generalized fractional integrals

In this study, some Gruss type inequalities for generalized fractional integrals are presented. Also, the results presented here would provide extensions of those given in earlier works.

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

We derive some Hermite Hamamard type integral inequalities for functions whose second derivatives absolute value are convex. Some eror estimates for the trapezoidal formula are obtained. Finally, some natural applications to special means of real numbers are given.

Comparing the estimation methods of stable distributions with respect to robustness properties

In statistical applications, some data set may exhibit the features like high skewness and kurtosis and heavy tailness that are incompatible with the normality assumption especially in finance and engineering. For these reason, the modeling of the data sets with α stable distributions will be reasonable approach. The stable distributions have four parameters. In literature, the estimation methods have been studied in order to estimate these unknown model parameters. In this study, we give small information about these proposed estimation methods and we compare these estimators with respect to robustness properties with a comprehensive simulation study, since the robustness property of an estimator has been an important tool for an appropriate modeling.

Some inequalities associated with the Hermite–Hadamard–Fejér type for convex function

In this paper, we extend some estimates of the right-hand side of a Hermite–Hadamard–Fejér type inequality for functions whose first derivatives’ absolute values are convex. The results presented here would provide extensions of those given in earlier works.