B. V. Simonov, V. A. Ivanyuk, I. E. Simonova, “Existence of best approximation elements in the spaces <nobr>$L_{\varphi_+\varphi_-}$</nobr>”, Contemporary Mathematics and Its Applications, 2015, Volume 96,Pages <nobr>112

Existence of best approximation elements in the spaces $L_{\varphi_+\varphi_-}$

B. V. Simonov^a, V. A. Ivanyuk^b, I. E. Simonova^a

^a Volgograd State Technical University
^b Financial University under the Government of the Russian Federation, Moscow

Abstract: In this paper, we examine the problem on the existence of best approximation elements in functional spaces with nonsymmetric norms and sign-sensitive weights.

UDC: 517.5