Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for $$\tau $$-Measurable operators: Part I
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DOI: 10.1007/s00020-020-02585-6
Abstract: The paper establishes arithmetic-geometric mean and related submajorisation and norm inequalities in the general setting of $$\tau $$ -measurable operators affiliated with a semi-finite von Neumann algebra. read more here.
Keywords: submajorisation norm; related submajorisation; mean related; geometric mean ... See more keywords
Nordhaus–Gaddum-Type Relations for Arithmetic-Geometric Spectral Radius and Energy
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DOI: 10.1155/2020/5898735
Abstract: Spectral graph theory plays an important role in engineering. LetG be a simple graph of order nwith vertex setV � v1, v2, . . . , vn ???? ????. For vi ∈ V, the degree… read more here.
Keywords: spectral radius; radius energy; energy; geometric spectral ... See more keywords
Weighted arithmetic–geometric operator mean inequalities
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DOI: 10.1186/s13660-018-1750-7
Abstract: AbstractIn this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be… read more here.
Keywords: frac prime; weighted arithmetic; frac; arithmetic geometric ... See more keywords
Inequalities related to the arithmetic, geometric and harmonic means
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DOI: 10.7153/jmi-11-01
Abstract: Recent refinements of mean inequalities can be thought of certain ratios. In this article, we present this point of view and prove the relationships between the different ratios induced by the different refinements. read more here.
Keywords: geometric harmonic; harmonic means; related arithmetic; arithmetic geometric ... See more keywords