Results 41 to 50 of about 61,523 (203)
We introduce a function space with some generalization of bounded variation in the sense of de la Vallée Poussin and study some of its properties, like embeddings and decompositions, among others.
René Erlín Castillo +2 more
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We prove that if a superposition operator maps a subset of the space of all metric-vector-space-valued-functions of bounded n-dimensional Φ-variation into another such space, and is uniformly continuous, then the generating function of the operator is an
Bracamonte Mireya +3 more
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The expected variation of random bounded integer sequences of finite length
From the enumerative generating function of an abstract adjacency statistic, we deduce the mean and variance of the variation on random permutations, rearrangements, compositions, and bounded integer sequences of finite length.
Rudolfo Angeles +3 more
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Modeling and Optimizing the System Reliability Using Bounded Geometric Programming Approach
The geometric programming problem (GPP) is a beneficial mathematical programming problem for modeling and optimizing nonlinear optimization problems in various engineering fields.
Shafiq Ahmad +4 more
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Transformation operators for impedance Sturm–Liouville operators on the line
In the Hilbert space $H:=L_2(\mathbb{R})$, we consider the impedance Sturm--Liouville operator $T:H\to H$ generated by the differential expression $ -p\frac{d}{dx}{\frac1{p^2}}\frac{d}{dx}p$, where the function $p:\mathbb{R}\to\mathbb{R}_+$ is of ...
M. Kazanivskiy +2 more
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Convolutions with the Continuous Primitive Integral
If F is a continuous function on the real line and f=F′ is its distributional derivative, then the continuous primitive integral of distribution f is ∫abf=F(b)−F(a).
Erik Talvila
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Bounded variation solutions to Sturm-Liouville problems
In this article we consider singular Sturm-Liouville problems whose right-hand side is a function of bounded Jordan variation. We present necessary and sufficient conditions for all solutions to be of bounded Jordan variation.
Jacek Gulgowski
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Optimal Integration for Functions of Bounded Variation [PDF]
The unique optimal information and the unique optimal linear algorithm are obtained for the integration of functions of bounded variation.
Traub, Joseph F., Lee, David
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We study the approximation properties of beta operators of second kind. We obtain the rate of convergence of these operators for absolutely continuous functions having a derivative equivalent to a function of bounded variation.
Vijay Gupta, Ulrich Abel, Mircea Ivan
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On functions of bounded n-th variation [PDF]
Following an idea of \textit{W. L. C. Sargent} [Proc. Lond. Math. Soc., II. Ser. 47, 212-247 (1941; Zbl 0061.102); ibid. 52, 365-376 (1951; Zbl 0045.332)], the authors introduce concepts of higher order bounded variation using Peano derivatives; denote these by \(V_ nB,\quad V_ nB^*,\) and the associated generalized classes by \(V_ nBG,\quad V_ nBG^*.\)
Mukhopadhyay, S. N., Sain, D. N.
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