<p>The aim of the present paper is to establish multiple-term refinements and reverses of the real power form for convex and log-convex functions, thereby exploring their applications to inequalities for scalar and operator means, as well as for unitarily invariant and numerical radius norms. The results of the paper provide a comprehensive and systematic overview of refined and interpolated inequalities; moreover, they cover or refine most of the known results in the literature.</p>

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Novel Inequalities Involving Convex Functions via Weak Submajorization and Applications

  • Duong Quoc Huy

摘要

The aim of the present paper is to establish multiple-term refinements and reverses of the real power form for convex and log-convex functions, thereby exploring their applications to inequalities for scalar and operator means, as well as for unitarily invariant and numerical radius norms. The results of the paper provide a comprehensive and systematic overview of refined and interpolated inequalities; moreover, they cover or refine most of the known results in the literature.