Yuan Lu
Abstract
Studies equivalence theorems of strong(very) convexity and strict convexity,strong(very) smoothness and smoothness are obtained in locally convex spaces(X,P),several convexity and smoothness equivalence theorems,generalizes corresponding notions and results in Banach space.
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Studies equivalence theorems of strong(very) convexity and strict convexity,strong(very) smoothness and smoothness are obtained in locally convex spaces(X,P),several convexity and smoothness equivalence theorems,generalizes corresponding notions and results in Banach space.
Key concepts: Convexity, Computer science, Equivalence (formal languages), Smoothness, Regular polygon, Mathematics, Pure mathematics, Mathematical analysis