Results 1 to 10 of about 446,619 (266)
Fractional Order Generalized Information [PDF]
Entropy, 2014 This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series.
José Tenreiro Machado
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On Dirichlet series similar to Hadamard compositions in half-plane
Karpatsʹkì Matematičnì Publìkacìï, 2023 Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura +2 more
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Properties of Laplace-Stieltjes-type integrals
Математичні Студії, 2023 The properties of Laplace-Stieltjes-type integrals $I(r)=\int_{0}^{\infty}a(x)f(xr)dF(x)$ are studied, where $F$ is a non-negative non-decreasing unbounded continuous on the right function on $[0,\,+\infty)$, $f(z)=\sum_{k=0}^{\infty}f_kz^k$ is an entire
M. M. Sheremeta
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ORDERS OF GROWTH AND GENERALIZED ENTROPY [PDF]
Journal of the Institute of Mathematics of Jussieu, 2021 AbstractWe construct the complete set of orders of growth and define on it the generalized entropy of a dynamical system. With this object, we provide a framework wherein we can study the separation of orbits of a map beyond the scope of exponential growth. We show that this construction is particularly useful for studying families of dynamical systems
Javier Correa, Enrique R. Pujals
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Non-Integer Order Generalized Filters Designs
IEEE Access, 2023 Non-integer order filters can be derived from a generalized structure presented in this work. More specifically, fractional-order and power-law filters of single- or double-order are special cases of non-integer order filters with three degrees of ...
Julia Nako +3 more
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A generalization of interval orders [PDF]
Electronic Notes in Discrete Mathematics, 1999 Abstract We provide an answer to an open problem concerning the representation of preferences by intervals. Given a finite set of elements and three relations on this set (indifference, weak preference and strict preference), necessary and sufficient conditions are provided for representing the elements of the set by intervals in such a way that 1 ...
Tsoukias, Alexis, Vincke, Philippe
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On generalized interval orders [PDF]
International Mathematical Forum, 2007 In this paper, we introduce the notion of generalized interval order (GIO) which extends the notion of interval order in non-transitive binary relations. This allow us to extend the classical representation theorem of Fishburn in [5]. We also provide sufficient conditions which ensure the existence of the Generalized Optimal Choice Set (GOCS) of GIOs ...
Andrikopoulos, A., Philippopoulou, E.
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Convexity in Ordered Matroids and the Generalized External Order [PDF]
The Electronic Journal of Combinatorics, 2020 In 1980, Las Vergnas defined a notion of discrete convexity for oriented matroids, which Edelman subsequently related to the theory of anti-exchange closure functions and convex geometries. In this paper, we use generalized matroid activity to construct a convex geometry associated with an ordered, unoriented matroid.
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Generalized Ordered Set Partitions [PDF]
Australas. J Comb., 2020 In this paper, we consider ordered set partitions obtained by imposing conditions on the size of the lists, and such that the first $r$ elements are in distinct blocks, respectively. We introduce a generalization of the Lah numbers. For this new combinatorial sequence we derive its exponential generating function, some recurrence relations, and ...
Beáta Bényi +2 more
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Generalized Quasinormal Subgroups of Order $p^2$ [PDF]
Advances in Group Theory and Applications, 2016 In a recent paper, Cossey and Stonehewer introduced a generalization of the concept of quasinormal subgroups as a consequence of their discovery of a scarcity of the latter in certain finite $p$-groups of an important universal nature.
Stewart Stonehewer
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