Extension of Convex Function
Copyright policy )Extension of Convex Function
We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull. We also give the parallel results for the convexity defined by positive definite Hessian.
- Hong Kong University of Science and Technology (香港科技大學) China (People's Republic of)
- Hong Kong Polytechnic University China (People's Republic of)
convex hulls, Positive definite Hessian, convex functions, non-convex domains, extensions of functions, Lipschitz (Hölder) classes, Classical Analysis and ODEs, Dynamical Systems (math.DS), Dynamical Systems, generalized convexity notions, 26B25, Convex function, Extension, Convex hull, positive definite Hessian, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Non-convex domain, Convexity of real functions of several variables, generalizations
convex hulls, Positive definite Hessian, convex functions, non-convex domains, extensions of functions, Lipschitz (Hölder) classes, Classical Analysis and ODEs, Dynamical Systems (math.DS), Dynamical Systems, generalized convexity notions, 26B25, Convex function, Extension, Convex hull, positive definite Hessian, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Non-convex domain, Convexity of real functions of several variables, generalizations
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