Results 21 to 30 of about 55,236 (257)

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

Functions of Bounded κφ-Variation in the Sense of Riesz-Korenblum

open access: yesJournal of Function Spaces and Applications, 2013
We present the space of functions of bounded κφ-variation in the sense of Riesz-Korenblum, denoted by κBVφ[a,b], which is a combination of the notions of bounded φ-variation in the sense of Riesz and bounded κ-variation in the sense of Korenblum ...
Mariela Castillo   +3 more
doaj   +1 more source

On Variational Bounds of Mutual Information

open access: yesCoRR, 2019
Estimating and optimizing Mutual Information (MI) is core to many problems in machine learning; however, bounding MI in high dimensions is challenging. To establish tractable and scalable objectives, recent work has turned to variational bounds parameterized by neural networks, but the relationships and tradeoffs between these bounds remains unclear ...
Ben Poole   +4 more
openaire   +3 more sources

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
openaire   +1 more source

Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators

open access: yesDemonstratio Mathematica, 2017
The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz.
Acar Tuncer
doaj   +1 more source

Opinion formation with time-varying bounded confidence. [PDF]

open access: yesPLoS ONE, 2017
When individuals in social groups communicate with one another and are under the influence of neighbors' opinions, they typically revise their own opinions to adapt to such peer opinions.
YunHong Zhang, QiPeng Liu, SiYing Zhang
doaj   +1 more source

On The Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣

open access: yesEurasian Journal of Science and Engineering, 2023
In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣 ...
Orhan Tug
doaj   +1 more source

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   +1 more source

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   +1 more source

Nemytskii operator on generalized bounded variation space

open access: yesRevista Integración, 2014
In this paper we show that if the Nemytskii operator maps the (φ, α)-bounded variation space into itself and satisfies some Lipschitz condition, then there are two functions g and h belonging to the (φ, α)-bounded variation space such that f (t, y) = g(t)
René Erlín Castillo   +2 more
doaj   +4 more sources

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