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Quasi-modified-Newton method-based selective harmonic elimination in cascaded H bridge inverters. [PDF]

Sci Rep
Saif B, Masood U, Sarwar A, Ahmad S, Huang LY, Liu HD.   +5 more
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Using five exposure metrics to explore the association between ambient PM_2.5 and the hospital admissions for COPD in Tianshui city, China. [PDF]

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Li D, Dong J, Liu X, Shu J, Zhu L, Bao H.   +5 more
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Recycled leather-epoxy hybrid composites exhibiting novel fracture behavior identified through multimodal characterization. [PDF]

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Salins SS, Shetty S, Doreswamy D, Gowda T, Sachidananda HK.   +4 more
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The Quasi-Arithmetic Means

1988
The power means n [r] (a;w), reR, defined in the previous chapter can be looked at in the following way; for each reR define a function φ as follows: Φ(x) = xr, r ≠ 0, Φ(x) = log x, r = 0, then $$M_n^{[r]}(\underline a ;\underline w ) = {\phi ^{ - 1}}\quad (\frac{1}{{{w_n}}}\sum\limits_{i = 1}^n {{w_i}\;\phi ({a_i})} ).$$ (1) This suggests ...
P. S. Bullen, D. S. Mitrinović, P. M. Vasić   +2 more
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Invariance equation for generalized quasi-arithmetic means

Aequationes mathematicae, 2009
In this paper, the invariance equation $$(\varphi_{1} + \varphi_{2})^{-1} (\varphi_{1}(x) + \varphi_{2}(y)) + (\psi_{1} + \psi_{2})^{-1}(\psi_{1}(x) + \psi_{2}(y)) = x + y$$ is solved under four times continuous differentiability of the unknown functions φ1, φ2, ψ1, ψ2.
Szabolcs Baják, Zsolt Páles
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Generalized weighted quasi-arithmetic means

Aequationes mathematicae, 2010
Let \(I\subseteq \mathbb R\) be an interval. A function \(M:\;I^2\to \mathbb R\) is called a mean on \(I^2\), if \[ \min (x,y)\leq M(x,y)\leq \max (x,y),\quad x,y\in I. \] The author considers means of the form \[ M_{f,g}(x,y)=(f+g)^{-1}(f(x)+g(y)) \] where \(f\) and \(g\) are real functions on \(I\), and studies conditions on \(f,g\), under which ...
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Limit properties of quasi-arithmetic means

Fuzzy Sets and Systems, 2001
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The Matkowski–Sutő problem for weighted quasi-arithmetic means

Acta Mathematica Hungarica, 2003
Let \(I\subset\mathbb{R}\) be a non-void open interval and let \(\mathcal{CM}(I)\) denote the class of all continuous and strictly monotone real-valued functions defined on the interval \(I\). A function \(M:I\times I \to I\) is called a weighted quasi-arithmetic mean on \(I\) if there exist a number ...
Daróczy, Z., Páles, Zs.
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Invariant and complementary quasi-arithmetic means

Aequationes Mathematicae, 1999
If \(I\) is a proper (non-singleton) real interval and \(M\) and \(N\) are continuous, both map \(I^{2}\) into \(I\), and both \(M(x,y)\) and \(N(x,y)\) lie between \(\min(x,y)\) and \(\max(x,y),\) one of them always strictly between if \(x\neq y\) (that is, both are means and one of them is a strict mean), then it is easy to see that there exists a ...
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