Results 31 to 40 of about 486,669 (177)
Spaceability and algebrability of sets of nowhere integrable functions
We show that the set of Lebesgue integrable functions in $[0,1]$ which are nowhere essentially bounded is spaceable, improving a result from [F. J. Garc\'{i}a-Pacheco, M. Mart\'{i}n, and J. B. Seoane-Sep\'ulveda.
Glab, Szymon +2 more
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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
doaj +1 more source
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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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
doaj
Spectral Synthesis of Functions of Bounded Variation [PDF]
It is proved that every bounded measurable function on ( − ∞ , ∞ ) ( - \infty ,\infty ) which for some constant a > 0 a > 0 is of bounded variation on ( − ∞ , − a ) ( - \infty , - a)
openaire +2 more sources
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
openaire +4 more sources
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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