Tempered Distribution Version of the Tumarkin Result
Mejdin Saliji *
Ukshin Hoti University, Faculty of Education, Mehmet Kasi bb, 20000, Prizren, Republic of Kosovo.
Bedrije Bedjeti
Univerziteti of Tetovo, Tetovo, Republic of North Macedonia.
Vesna Manova Erakovik
Cyril and Methodius University, Faculty of Mathematics and Natural Sciences, Arhimedova bb, Gazi baba, 1000, Skopje, Republic of North Macedonia.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Boundary values of distributions, distributions, Tumarkin