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In this paper, we utilize the convexity of the function f (ν)= ∥ ∥ ∣ ∣AνXB1−ν ∣ ∣r ∥ ∥ ·∥∥∣∣A1−νXBν ∣r∥ and the Hermite-Hadamard inequality to obtain a family… Click to show full abstract
In this paper, we utilize the convexity of the function f (ν)= ∥ ∥ ∣ ∣AνXB1−ν ∣ ∣r ∥ ∥ ·∥∥∣∣A1−νXBν ∣r∥ and the Hermite-Hadamard inequality to obtain a family of new refinements of Cauchy-Schwarz norm inequality for operators, which extends the related results. Mathematics subject classification (2010): 47A63.
Keywords:
inequality;
refinements cauchy;
schwarz norm;
cauchy schwarz;
norm inequality
Journal Title: Journal of Mathematical Inequalities
Year Published: 2019
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Journal Title: Journal of Mathematical Inequalities
Year Published: 2019
Link to full text (if available)
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