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Superadditivity, Monotonicity, and Exponential Convexity of the Petrović‐Type Functionals

الإضافة الفائقة، والرتابة، والتحدي الأسي لوظائف نوع بتروفيتش
Authors: Saad Ihsan Butt; Mario Krnić; Josip ‎Pečarić;

Superadditivity, Monotonicity, and Exponential Convexity of the Petrović‐Type Functionals

Abstract

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.

Country
Croatia
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold