Results 11 to 20 of about 61,672 (299)
On ordered Λ-bounded variation [PDF]
An example is given of a continuous real function that is of ordered Λ \Lambda
Franciszek Prus-Wiśniowski
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Integral Representation of Functions of Bounded Variation
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
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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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Bounded sets in the range of an X∗∗-valued measure with bounded variation
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
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Multifunctions of bounded variation [PDF]
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
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Functions of bounded variation
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
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Bilinear Fourier multipliers of bounded variation
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
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Some properties of certain subclasses of bounded Mocanu variation with respect to $2k$-symmetric conjugate points [PDF]
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
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Approximating the Stieltjes Integral via the Darst-Pollard Inequality [PDF]
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
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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
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