Results 31 to 40 of about 486,669 (177)

Spaceability and algebrability of sets of nowhere integrable functions

open access: yes, 2012
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
core   +1 more source

Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin

open access: yesJournal of Function Spaces, 2015
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

Uniformly Continuous Superposition Operators In The Space Of Functions Of Bounded n-Dimensional Φ-Variation

open access: yesDemonstratio Mathematica, 2014
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
doaj   +1 more source

The expected variation of random bounded integer sequences of finite length

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
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
doaj   +1 more source

Modeling and Optimizing the System Reliability Using Bounded Geometric Programming Approach

open access: yesMathematics, 2022
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
doaj   +1 more source

Transformation operators for impedance Sturm–Liouville operators on the line

open access: yesМатематичні Студії, 2023
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
doaj   +1 more source

Bounded variation solutions to Sturm-Liouville problems

open access: yesElectronic Journal of Differential Equations, 2018
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]

open access: yesProceedings of the American Mathematical Society, 1975
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]

open access: yesMathematics of Computation, 1985
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

Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
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
doaj   +1 more source

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