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On a weighted Hermite-Hadamard inequality in operator variables with applications for weighted operator means

Abstract

This paper investigates a new weighted version of the standard Hermite-Hadamard inequalities for operator convex functions and highlights certain related properties. As an application, new weighted operator means have been pointed out and some refinements to several operator mean inequalities have been discussed.

Research topics

  • Mathematical Inequalities and Applications
  • Mathematical functions and polynomials
  • Approximation Theory and Sequence Spaces

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DOI: 10.2298/fil2417971r

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