Results 31 to 40 of about 167,639,266 (299)

On separation by function of bounded variation

open access: yesPeriodica Mathematica Hungarica, 2023
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.
openaire   +2 more sources

Functions of bounded variation and Lipschitz algebras in metric measure spaces [PDF]

open access: yesE S A I M: Control, Optimisation and Calculus of Variations
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
semanticscholar   +1 more source

Approximating the Stieltjes Integral of Bounded Functions and Applications for Three Point Quadrature Rules [PDF]

open access: yes, 2007
Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given.
Dragomir, Sever S
core   +7 more sources

On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane

open access: yesInternational Journal of Differential Equations, 2022
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
doaj   +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

On functions of bounded p-variation

open access: yesJournal of Mathematical Analysis and Applications, 2009
The authors obtain estimates of the total \(p\)-variation ...
Kolyada, V.I., Lind, M.
openaire   +2 more sources

The Lipschitz truncation of functions of bounded variation [PDF]

open access: yesIndiana University Mathematics Journal, 2021
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
openaire   +4 more sources

Which special functions of bounded deformation have bounded variation? [PDF]

open access: yesProceedings of the Royal Society of Edinburgh. Section A Mathematics, 2015
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
semanticscholar   +1 more source

Fractional sobolev spaces and functions of bounded variation of one variable [PDF]

open access: yes, 2016
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
semanticscholar   +1 more source

New Generalized Inequalities for Functions of Bounded Variation

open access: yesCumhuriyet Science Journal, 2018
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
doaj   +1 more source

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