Results 111 to 120 of about 8,547,431 (271)
Complementary inequalities to Davis-Choi-Jensen's inequality and operator power means
, 2021 Let $f$ be an operator convex function on $(0,\infty)$, and $Φ$ be a unital positive linear maps on $B(H)$. we give a complementary inequality to Davis-Choi-Jensen's inequality as follows \begin{equation*} f(Φ(A))\geq \frac{4R(A,B)}{(1+R(A,B))^2}Φ(f(A)), \end{equation*} where $R(A, B)=\max\{r(A^{-1}B) ,r(B^{-1}A)\}$ and $r(A)$ is the spectral radius of
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Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces [PDF]
Mathematical Inequalities & Applications, 2019 Summary: For positive real numbers \(a\) and \(b\), the weighted power mean \(P_{t,q}(a,b)\) and the weighted Heron mean \(K_{t,q}(a,b)\) are defined as follows: For \(t\in [0,1]\) and \(q\in \mathbb R\), \(P_{t,q}(a,b) = \{(1 - t)a^q+tb^q\}^{\frac1q}\) and \(K_{t,q}(a,b) = (1 -q)a^{1-t}b^t+ q\{(1 -t)a +tb\}\). These means generalize the arithmetic and
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The Insistence of Blackness and the Persistence of Antiblackness in Ireland
Australian Journal of Social Issues, EarlyView.ABSTRACT This paper positions Ireland as a critical site for examining the insistence of blackness and an antiblackness created and sustained through Irish ethnonationalist imaginaries and exclusionary processes. Drawing on connected sociologies and Irish Black Studies, this enquiry argues that antiblackness in Ireland operates as a generational force,
Philomena Mullen
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Australian Journal of Social Issues, EarlyView.ABSTRACT This paper applies Critical Race Theory (CRT) to explore how whiteness operates within Australia's anti‐racism movement as a structuring force that shapes discourse, practice and policy. Despite the anti‐racism movement offering crucial spaces for resistance and reform, it remains entangled in Australia's settler‐colonial present and systemic ...
Franka Vaughan, Aish Ravi
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Some inequalities for weighted power mean
Journal of Mathematical InequalitieszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Australian Journal of Social Issues, EarlyView.ABSTRACT The 2023 Australian Voice to Parliament Referendum presented a pivotal moment in the nation's democratic landscape. Despite support for Indigenous well‐being, the referendum did not secure the necessary approval, prompting extensive analysis of its outcome.
Scott Baum, William Mitchell
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Australian Journal of Social Issues, EarlyView.ABSTRACT The Aboriginal and Torres Strait Islander people of Australia require culturally responsive services. The Australian government has committed to establishing strategies to increase the size of the Aboriginal and Torres Strait Islander disability workforce; however, there is scant research on the factors influencing retention.
J. Gwynn +9 more
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Mathematical and Computer Modelling of Dynamical SystemsFractional calculus is extremely important and should not be undervalued due to its critical role in the theory of inequalities. In this article, different generalized Hermite-Hadamard type inequalities for functions whose modulus of first derivatives ...
Asfand Fahad +5 more
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Generalization and sharpness of the power means inequality and their applications
Journal of Mathematical Analysis and Applications, 2005 The main results of the paper sharpen the classical well-known inequalities between power means. As a consequence, the inequality \[ \left(\sum_{i=1}^n x_i\right)^n \leq (n-1)^{n-1} \sum_{i=1}^n x_i^n + n\big(n^{n-1}-(n-1)^{n-1}\big)\prod_{i=1}^n x_i \] is proved for all \(x_1,\dots,x_n>0\), \(n\geq2\), which was conjectured by \textit{W. Janous, M. K.
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Australian Journal of Social Issues, EarlyView.ABSTRACT Migrant healthcare workers in Australia find themselves at the centre of three intersecting concerns, often presented as ‘crises’ in contemporary discourse: the ‘care crisis’, the ‘housing crisis’ and the ‘migration crisis.’ Yet their own perspectives on these issues are rarely foregrounded. This paper explores the role of homeownership in the
Leah Williams Veazey
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