On separation by function of bounded variation
AbstractIn the present paper we are concerned with the problem of separation of two given functions by an increasing (decreasing) function or by a function of bounded variation. In the context of separation by a function of bounded variation we give two approaches.
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Functions of bounded variation and Lipschitz algebras in metric measure spaces [PDF]
Given a unital algebra $\mathscr A$ of locally Lipschitz functions defined over a metric measure space $({\rm X},{\sf d},\mathfrak m)$, we study two associated notions of function of bounded variation and their relations: the space ${\rm BV}_{\rm H}({\rm
Enrico Pasqualetto, G. E. Sodini
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Approximating the Stieltjes Integral of Bounded Functions and Applications for Three Point Quadrature Rules [PDF]
Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given.
Dragomir, Sever S
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On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane
In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel ...
Jurancy Ereú +2 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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On functions of bounded p-variation
The authors obtain estimates of the total \(p\)-variation ...
Kolyada, V.I., Lind, M.
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The Lipschitz truncation of functions of bounded variation [PDF]
We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original ...
Breit, Dominic +2 more
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Which special functions of bounded deformation have bounded variation? [PDF]
Functions of bounded deformation (BD) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation (BV), but are less well understood.
S. Conti, M. Focardi, F. Iurlano
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Fractional sobolev spaces and functions of bounded variation of one variable [PDF]
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fractional Sobolev spaces, the space BV of functions of bounded variation, whose derivatives are not functions but measures and the space SBV, say the space of
M. Bergounioux +3 more
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New Generalized Inequalities for Functions of Bounded Variation
In this paper, firstly we obtain some generalized trapezoid and midpointtype inequalities for functions of bounded variation using two new generalized identitiesfor Riemann-Stieltjes integrals. Then quadrature formula is also provided.
Mehmet Zeki Sarıkaya, Hüseyin Budak
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