Results 11 to 20 of about 61,672 (299)

On ordered Λ-bounded variation [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
An example is given of a continuous real function that is of ordered Λ \Lambda
Franciszek Prus-Wiśniowski
openaire   +2 more sources

Integral Representation of Functions of Bounded Variation

open access: yesJournal of Mathematics, 2019
Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually ...
Z. Lipcsey   +3 more
doaj   +2 more sources

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   +2 more sources

Bounded sets in the range of an X∗∗-valued measure with bounded variation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Let X be a Banach space and A⊂X an absolutely convex, closed, and bounded set. We give some sufficient and necessary conditions in order that A lies in the range of a measure valued in the bidual space X∗∗ and having bounded variation.
B. Marchena, C. Piñeiro
doaj   +2 more sources

Multifunctions of bounded variation [PDF]

open access: yesJournal of Differential Equations, 2016
In the paper, a new concept for a set-valued map \(F(\cdot,\cdot):[S,T]\times {\mathbb R}^n\to {\mathcal P}({\mathbb R}^n)\) is introduced; namely, to have bounded variation with respect to the time variable along a given continuous trajectory uniformly over a given set. Several properties for this class of set-valued maps are proved.
Vinter, RB
openaire   +4 more sources

Functions of bounded variation

open access: yes, 2006
The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined.
Lind, Martin
openaire   +2 more sources

Bilinear Fourier multipliers of bounded variation

open access: yes, 2022
In this paper, we obtain weighted estimates for bilinear Fourier multipliers of bounded variation that provide new restricted weak-type bounds. We also study their boundedness on the setting of the weighted Lorentz spaces.
Luque Martínez, Teresa Elvira   +3 more
core   +1 more source

Some properties of certain subclasses of bounded Mocanu variation with respect to $2k$-symmetric conjugate points [PDF]

open access: yesMathematica Bohemica, 2019
We introduce subclasses of analytic functions of bounded radius rotation, bounded boundary rotation and bounded Mocanu variation with respect to $2k$-symmetric conjugate points and study some of its basic properties.
Rasoul Aghalary, Jafar Kazemzadeh
doaj   +1 more source

Approximating the Stieltjes Integral via the Darst-Pollard Inequality [PDF]

open access: yes, 2007
An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation ...
S. S. Dragomir   +4 more
core   +1 more source

An Analog of the Neumann Problem for the 1-Laplace Equation in the Metric Setting: Existence, Boundary Regularity, and Stability

open access: yesAnalysis and Geometry in Metric Spaces, 2018
We study an inhomogeneous Neumann boundary value problem for functions of least gradient on bounded domains in metric spaces that are equipped with a doubling measure and support a Poincaré inequality.
Lahti Panu   +2 more
doaj   +1 more source

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