Jensen operator inequality for strongly convex functions
H. R. Moradi, R. Naseri
TL;DR
This paper establishes a Jensen operator inequality for strongly convex functions and uses it to enhance the operator Hölder-McCarthy inequality under specific conditions.
Contribution
It introduces a Jensen operator inequality tailored for strongly convex functions, providing a novel tool in operator theory.
Findings
Derived a Jensen operator inequality for strongly convex functions
Improved the operator Hölder-McCarthy inequality
Applicable under certain conditions to strengthen existing inequalities
Abstract
We give a Jensen operator inequality for strongly convex functions. As a corollary, we improve operator Holder-McCarthy inequality under suitable conditions.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory