Recent research on Levinson’s inequality (CROSBI ID 65125)
Prilog u knjizi | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Mićić, Jadranka ; Praljak, Marjan
engleski
Recent research on Levinson’s inequality
In this paper we review the results on Levinson’s inequality and present some of its generalizations using several new approaches. We provide a probabilistic version for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds. From the obtained inequality, we derive new families of exponentially convex functions and related results. We also give a monotonic refinement of the probabilistic version of Levinson’s inequality. Levinson’s type inequality of Hilbert space operators is discussed as well for unital fields of positive linear mappings and a large class of functions. Order among quasi- arithmetic means is considered under similar conditions.
Levison's inequality ; converses of Levison's inequality ; Levison's operator inequality ; converses of Levison's operator inequality ; 3-convex functions at a point
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Podaci o prilogu
653-679.
objavljeno
10.1007/978-3-030-28950-8
Podaci o knjizi
Frontiers in Functional Equations and Analytic Inequalities
Anastassiou, George ; Rassias, John Michael
Cham: Springer
2019.
978-3-030-28949-2