1
Department of Mathematics, Ayatollah Borujerdi University, Boroujerd, Iran
2
Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
Abstract
As a counterpart to the best approximation in normed linear spaces, the best simultaneous approximation was introduced. In this paper, we shall consider relation between simultaneous proximinality $W$ in $X$ and $L^p(S,W)$ in $L^p(S,X)$ for $1\leq p\leq\infty$. Also, we consider the relation between w-simultaneous proximinality $W$ in $X$ and $L^p(S,W)$ in $L^p(S,X)$ for $1\leq p\leq\infty$.
Anvar,M. Valaei and Haddadi,M. R (2022). Best simultaneous approximation in $L^{p}(S,X)$. Mathematical Analysis and its Contemporary Applications, 4(1), 1-7. doi: 10.30495/maca.2021.1935786.1019
MLA
Anvar,M. Valaei, and Haddadi,M. R. "Best simultaneous approximation in $L^{p}(S,X)$", Mathematical Analysis and its Contemporary Applications, 4, 1, 2022, 1-7. doi: 10.30495/maca.2021.1935786.1019
HARVARD
Anvar M. Valaei, Haddadi M. R (2022). 'Best simultaneous approximation in $L^{p}(S,X)$', Mathematical Analysis and its Contemporary Applications, 4(1), pp. 1-7. doi: 10.30495/maca.2021.1935786.1019
CHICAGO
M. Valaei Anvar and M. R Haddadi, "Best simultaneous approximation in $L^{p}(S,X)$," Mathematical Analysis and its Contemporary Applications, 4 1 (2022): 1-7, doi: 10.30495/maca.2021.1935786.1019
VANCOUVER
Anvar M. Valaei, Haddadi M. R Best simultaneous approximation in $L^{p}(S,X)$. MACA, 2022; 4(1): 1-7. doi: 10.30495/maca.2021.1935786.1019