TY  - JOUR
TI  - Korovkin-type theorems and their statistical versions in grand Lebesgue spaces
AB  - The analogs of Korovkin theorems in grand-Lebesgue spaces are proved. The subspace $G^{p)}(-pi;;pi)$ of grandLebesgue space is defined using shift operator. It is shown that the space of infinitely differentiable finite functions isdense in $G^{p)}(-pi;;pi)$ The analogs of Korovkin theorems are proved in $G^{p)}(-pi;;pi)$ These results are established in $G^{p)}(-pi;;pi)$ in the sense of statistical convergence. The obtained results are applied to a sequence of operators generatedby the Kantorovich polynomials, to Fejer and Abel-Poisson convolution operators.
AU  - KARAÇAM, Cemil
AU  - ISMAILOV, Migdad
AU  - Zeren, Yusuf
DO  - 10.3906/mat-2003-21
PY  - 2020
JO  - Turkish Journal of Mathematics
VL  - 44
IS  - 3
SN  - 1300-0098
SP  - 1027
EP  - 1041
DB  - TRDizin
UR  - http://search/yayin/detay/338996
ER  -