Results 21 to 30 of about 725 (168)
Monotonicity of generalized Furuta type functions [PDF]
Operators and Matrices, 2012 The monotonicity of generalized Furuta type operator function Fs0 (r,s) =C −r 2 (C r 2 (A t 2 BpA t 2 )sC −r 2 ) (p+t)s0+r (p+t)s+r C −r 2 is discussed via the equivalent relations between operator inequalities. Let −1 t 0 . It is shown that, for each s0 such that t p+t < s0 , the function Fs0 (r,s) is decreasing for both r −t and s max{1,s0 ...
Jiangtao Yuan, Guoxing Ji
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On Singular Generalized Absolutely Monotone Functions
Journal of Approximation Theory, 1994 Let \(\{u_ i\}^ \infty_{i=0}\) be an infinite sequence of functions belonging to \(C^ \infty [a,b]\), such that for all \(n\), \(n = 0,1, \dots, \{u_ i\}^ n_{\ell = 0}\) form an extended Chebyshev system on \([a,b]\). We assume that \(u_ i(t) = \varphi_ i (t;a)\), \(i = 0,1,2, \dots\), where \[ \varphi_ 0 (t;x) = \begin{cases} 0 & a \leq t < x \\ w_ 0 ...
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Generalizations of a Weighted Trapezoidal Inequality for Monotonic Functions and Applications
, 2011 In this paper we establish some generalizations of a weighted trapezoidal inequality for monotonic functions and give several applications for the r-moments, the expectation of a continuous random variable and the Beta and Gamma functions ...
Tseng, Kuei-lin; Yang, Gou-sheng; 楊國勝; Dragomir, Sever S.
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Generalized monotonicity and convexity of non-differentiable functions
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Liya, Liu, Sanyang, Gao, Shuping
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Inequalities and monotonicity of ratios for generalized hypergeometric function
Journal of Approximation Theory, 2009 We find two-sided inequalities for the generalized hypergeometric function of the form ${_{q+1}}F_{q}(-x)$ with positive parameters restricted by certain additional conditions. Both lower and upper bounds agree with the value of ${_{q+1}}F_{q}(-x)$ at the endpoints of positive semi-axis and are asymptotically precise at one of the endpoints.
Dmitrii Karp, Sergei M. Sitnik
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A General Dichotomy of Evolutionary Algorithms on Monotone Functions [PDF]
IEEE Transactions on Evolutionary Computation, 2018 It is known that the evolutionary algorithm $(1+1)$-EA with mutation rate $c/n$ optimises every monotone function efficiently if $c<1$, and needs exponential time on some monotone functions (HotTopic functions) if $c\geq 2.2$. We study the same question for a large variety of algorithms, particularly for $(1+λ)$-EA, $(μ+1)$-EA, $(μ+1)$-GA, their ...
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On the properties of monotone functionals for generalizing Bellman Principle
AutomaticazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caen, Auguste, Mathias, Jean-Denis
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Hankel Transforms of General Monotone Functions
, 2019 We show that the Hankel transform of a general monotone function converges uniformly if and only if the limit function is bounded. To this end, we rely on an Abel-Olivier test for real-valued functions. Analogous results for cosine series are derived as well.
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Range Unit Root (RUR) Tests: Robust against Nonlinearities, Error Distributions, Structural Breaks and Outliers [PDF]
, 2006 Since the seminal paper by Dickey and Fuller in 1979, unit-root tests have conditioned the standard approaches to analysing time series with strong serial dependence in mean behaviour, the focus being placed on the detection of eventual unit roots in an ...
Sipols, Ana E. +2 more
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The Best Bounds in Gautschi-Kershaw Inequalities
, 2005 By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and ...
Qi, Feng +5 more
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