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GATEAUX DIFFERENTIABILITY AND UNIFORM MONOTONE APPROXIMATION OF CONVEX FUNCTIONS IN BANACH SPACES

Shang, S

Shang, S (corresponding author), Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China.

ACTA MATHEMATICA HUNGARICA, 2021; 164 (1): 265

Abstract

We prove that if X* is strictly convex, a convex function f is coercive and b-Lipschitzian iff there exist two convex function sequences {f(n)}(n=1)(i......

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