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Signed Tropicalization of Polar Cones. [PDF]
J Optim Theory ApplAkian M +3 more
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Nonparametric Density Estimation of a Long-Term Trend from Repeated Semicontinuous Data. [PDF]
J Am Stat AssocLemyre FC, Carroll RJ, Delaigle A.
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On the Monotonicity of Relative Entropy: A Comparative Study of Petz's and Uhlmann's Approaches. [PDF]
Entropy (Basel)Matheus S, Bottacin F, Provenzi E.
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Proceedings of the 2014 Annual Conference on Genetic and Evolutionary Computation, 2014
To understand how evolutionary algorithms optimize the simple class of monotonic functions, Jansen (FOGA 2007) introduced the partially-ordered evolutionary algorithm (PO-EA) model and analyzed its runtime. The PO-EA is a pessimistic model of the true optimization process, hence performance guarantees for it immediately take over to the true ...
Sylvain Colin +2 more
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To understand how evolutionary algorithms optimize the simple class of monotonic functions, Jansen (FOGA 2007) introduced the partially-ordered evolutionary algorithm (PO-EA) model and analyzed its runtime. The PO-EA is a pessimistic model of the true optimization process, hence performance guarantees for it immediately take over to the true ...
Sylvain Colin +2 more
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Monotone Majorizable Functionals
Studia Logica, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
Russian Academy of Sciences. Sbornik Mathematics, 1993The direct theorem of Nikolskij-type for monotone polynomial approximation of smooth monotone functions is proved. That result is an extension of classic direct theorems in approximation without constraint of A. F. Timan, V. K. Dzyadyk, G. Freud, Yu. A. Brudnyi.
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On Functions That are Monotone on No Interval
The American Mathematical Monthly, 1981(1981). On Functions that are Monotone on No Interval. The American Mathematical Monthly: Vol. 88, No. 10, pp. 754-755.
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Russian Mathematical Surveys, 2003
Summary: Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published.
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Summary: Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published.
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Some Absolutely Monotonic and Completely Monotonic Functions
SIAM Journal on Mathematical Analysis, 1974The functions $(1 - r)^{ - 2|\lambda |} (1 - 2xr + r^2 )^{ - \lambda } $ are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for $ - 1 \leqq x \leqq 1$. One consequence is a simple proof of Kogbetliantz’s theorem on positive Cesaro summability for ultraspherical series, [7].
Askey, Richard, Pollard, Harry
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Monotonicity properties of ‐functions
Mathematische Nachrichten, 2018AbstractWe present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that is in that class presents a first example of an arithmetic function for which the associated Dirichlet series is completely monotonic, but not logarithmically completely monotonic. Lastly, we use similar techniques to prove
Chaubey, Sneha +2 more
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