2024/05/08 by Nahid Gharakhanlu, Mohammad Sal Moslehian, Gharakhanlu, Nahid +1
Computer Science · Mathematics · #47A30 #47A63 #47B10 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Operator Algebras (math.OA) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2405.05289
openalex publication_date 2024/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we obtain the subadditivity inequality of strongly operator convex functions on (0, ∞) and (-∞,0). Applying the properties of operator convex functions, we deduce the subadditivity property of operator monotone functions on (0, ∞). We give new operator inequalities involving strongly operator convex functions on an interval and the weighted operator means. We also investigate relations between strongly operator convex functions and Kwong functions on (0, ∞). Moreover, we study the strongly operator convex functions on (a, ∞) with a>-∞ and also on left half line (-∞,b) with b< ∞. We show that any non-constant strongly operator convex function on (a, ∞) is strictly operator decreasing, and any non-constant strongly operator convex function on (-∞,b) is strictly operator monotone. Consequently, if g is a strongly operator convex function on (a, ∞) or (-∞,b), we estimate lower bounds of |g(A)-g(B)| whenever A-B>0.