9 papers
The impact of the limit -Durrmeyer operator on continuous functions
Övgü Gürel Yılmaz, Sofiya Ostrovska, Mehmet Turan
The limit -Durrmeyer operator, was introduced and its approximation properties were investigated by V. Gupta in 2008 during a study of -analogues for the Bern…
On the q-moment determinacy of probability distributions
Sofiya Ostrovska, Mehmet Turan
Given every absolutely continuous distribution can be described in two different ways: in terms of a probability density function and also in terms of a -density. Corre…
Power Lindley distribution and software metrics
Mohammed Khalleefah, Sofiya Ostrovska, Mehmet Turan
The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called…
Uncorrelatedness sets of discrete uniform distributions via Vandermonde-type determinants
Mehmet Turan, Sofiya Ostrovska, Ahmet Yaşar Özban
Given random variables and having finite moments of all orders, their uncorrelatedness set is defined as the set of all pairs for which and $…
Discrete Stieltjes classes for log-Heine type distributions
Sofiya Ostrovska, Mehmet Turan
The Stieltjes classes play a significant role in the moment problem since they permit to expose an infinite family of probability distributions all having equal moments of all orde…
On the invariant manifolds of the fixed point of a second order nonlinear difference equation
Mehmet Turan
This paper addresses the asymptotic approximations of the stable and unstable manifolds for the saddle fixed point and the 2-periodic solutions of the difference equation $x_{n+1}…
q-Stieltjes classes for some families of q-distributions
Sofiya Ostrovska, Mehmet Turan
The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly an infinite family of probability densities with the same sequence of moments. In…
The distance between two limit -Bernstein operators
Sofiya Ostrovska, Mehmet Turan
For let denote the limit -Bernstein operator. In this paper, the distance between and for distinct and in the operator norm on is…
A remark for dynamic equations on time scales
Marat Akhmet, Mehmet Turan
We give a proposal to generalize the concept of the differential equations on time scales, such that they can be more appropriate for the analysis of real world problems, and give…