
We consider functionals derived from Petrović‐type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n‐tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.
Financial economics, Economics, Exponential type, Univalent Functions, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Petrović-type inequality, Convexity, Superadditivity, Subadditivity, subadditivity, QA1-939, FOS: Mathematics, Biology, Other analytical inequalities, Mathematical economics, Ecology, superadditivity, Applied Mathematics, Petrović-type functional, Exponential function, Geometric Function Theory and Complex Analysis, Infimum and supremum, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, monotonicity, Applied mathematics, Petrović-type inequality; Petrović-type functional; superadditivity; subadditivity; monotonicity; exponential convexity, Computational Theory and Mathematics, FOS: Biological sciences, Physical Sciences, Computer Science, Geometry and Topology, exponential convexity, Tuple, Type (biology), Mathematics, Monotonic function, Hypergeometric Functions
Financial economics, Economics, Exponential type, Univalent Functions, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Petrović-type inequality, Convexity, Superadditivity, Subadditivity, subadditivity, QA1-939, FOS: Mathematics, Biology, Other analytical inequalities, Mathematical economics, Ecology, superadditivity, Applied Mathematics, Petrović-type functional, Exponential function, Geometric Function Theory and Complex Analysis, Infimum and supremum, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, monotonicity, Applied mathematics, Petrović-type inequality; Petrović-type functional; superadditivity; subadditivity; monotonicity; exponential convexity, Computational Theory and Mathematics, FOS: Biological sciences, Physical Sciences, Computer Science, Geometry and Topology, exponential convexity, Tuple, Type (biology), Mathematics, Monotonic function, Hypergeometric Functions
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