4 papers · 1 filter
Tensor-Lifted Multivariate Functional Calculus Beyond Commutativity and Boundedness
Shih-Yu Chang
Classical functional calculus is primarily spectral, capturing eigenvalue information through resolvent methods while largely ignoring nilpotent structure. Building on the projecto…
Generalized Multivariate Hypercomplex Function Inequalities and Their Applications
Shih-Yu Chang
This work extends the Mond-Pecaric method to functions with multiple operators as arguments by providing arbitrarily close approximations of the original functions. Instead of usin…
Multivariate Mond-Pecaric Method with Applications to Hypercomplex Function Sobolev Embedding
Shih-Yu Chang
Mond and Pecaric introduced a method to simplify the determination of complementary inequalities for Jensen's inequality by converting it into a single-variable maximization or min…
Generalized Converses of Operator Jensens Inequalities with Applications to Hypercomplex Function Approximations and Bounds Algebra
Shih-Yu Chang
Mond and Pecaric proposed a powerful method, namd as MP method, to deal with operator inequalities. However, this method requires a real-valued function to be convex or concave, an…