ON GENERALIZED TRIANGLE INEQUALITY IN p - FREÉCHET SPACES
نویسنده
چکیده
In this paper generalized triangle inequality and its reverse in a p-Fréchet space where, 0 < p < 1 are obtained.
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Refining some results of S. S. Dragomir, several new reverses of the generalized triangle inequality in inner product spaces are given. Among several results, we establish some reverses for the Schwarz inequality. In particular, it is proved that if a is a unit vector in a real or complex inner product space (H; 〈., .〉), r, s > 0, p ∈ (0, s],D = {x ∈ H, ‖rx− sa‖ ≤ p}, x1, x2 ∈ D − {0} and αr,s ...
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