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- W258938863 abstract "In this Paper, the notion of -Birkhoff orthogonality introduced by Dragomir [An. Univ. Timisoara Ser. Stiint. Mat. 29(1991), no. 1, 51-58] in normed linear spaces has been extended to metric linear spaces and a decomposition theorem has been proved. Some results of Kainen, Kurkova and Vogt [J. Approx. Theory 105 (2000), no. 2, 252-262] proved on e-near best approximation in normed linear spaces have also been extended to metric linear spaces. It is shown that if (X, d) is a convex metric linear space which is pseudo strictly convex and M a boundedly compact closed subset of X such that for each >0 there exists a continuous -near best approximation : X → M of X by M then M is a chebyshev set ." @default.
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- W258938863 date "2001-01-01" @default.
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- W258938863 title "ON $varepsilon$-BIRKHOFF ORTHOGONALITY AND $varepsilon$-NEAR BEST APPROXIMATION" @default.
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