Results 21 to 30 of about 2,070,767 (336)
New properties for the Ramanujan R-function
In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
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In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
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Expedient and Monotone Learning Rules [PDF]
This paper considers learning rules for environments in which little prior and feedback information is available to the decision maker. Two properties of such learning rules are studied: absolute expediency and monotonicity. Both require that some aspect of the decision maker's performance improves from the current period to the next.
Tilman Börgers +2 more
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Approximating the distance to monotonicity of Boolean functions [PDF]
We design a nonadaptive algorithm that, given oracle access to a function f:{0,1} n→{0,1} which is α ‐far from monotone, makes poly (n,1/α) queries and returns an estimate that, with high probability, is an Õ(n) ‐approximation to the distance of f to ...
R. Pallavoor +2 more
semanticscholar +1 more source
This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng +3 more
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Non-monotonic reasoning rules for energy efficiency [PDF]
Conflicting rules and rules with exceptions are very common in natural language specification employed to describe the behaviour of devices operating in a real-world context. This is common exactly because those specifications are processed by humans, and humans apply common sense and strategic reasoning about those rules to resolve the conflicts.
TOMAZZOLI, Claudio +3 more
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Some Inequalities for Generalized Hyperbolic Functions
In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
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Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind
With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions involving complete $(p,q)$-elliptic integrals of the first kind and the inverse of generalized hyperbolic tangent function, derive several sharp inequalities ...
Wang, Fei, Qi, Feng
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Splitting Rules for Monotone Fuzzy Decision Trees
This paper considers the problem of building monotone fuzzy decision trees when the attributes and the labeling function are in the form of partitions (in Ruspini’s sense) of totally ordered labels. We define a fuzzy version of Shannon and Gini rank discrimination measures, based on a definition of fuzzy dominance, to be used in the splitting phase of ...
Marsala, Christophe, Petturiti, Davide
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