Mejdin Saliji

Tempered Distribution Version of the Tumarkin Result

Mejdin Saliji, Bedrije Bedjeti & Vesna Manova Erakovik · Journal of Advances in Mathematics and Computer Science · 2022

We transfer a classical result of Tumarkin, about approximation of  functions with certain rational functions, in distributional setting.  This is achieved by embedding the functions from classical spaces into the space of tempered distributions.

Open access Research Article 10.9734/jamcs/2022/v37i130428

Analytic Representation of Probability Density Function of Random Variable in Distributional Sense

Bedrije Bedjeti, Mejdin Saliji & Vesna Manova Eraković · Journal of Advances in Mathematics and Computer Science · 2022

In this paper, we have proved that the probability density function \(f(t)\) considered as a distribution has a Cauchy representation in \(O_\alpha^{\prime}\). The distribution space \(O_\alpha^{\prime}\) is intermediate space between \(E^{\prime}\) and \(D^{\prime}\).

Open access Research Article 10.9734/jamcs/2022/v37i730467