Results 11 to 20 of about 552,211 (279)

BOUNDED VARIATION ON THE SIERPIŃSKI GASKET

open access: yesFractals, 2022
Under certain continuity conditions, we estimate upper and lower box dimensions of the graph of a function defined on the Sierpiński gasket. We also give an upper bound for Hausdorff dimension and box dimension of the graph of a function having finite energy.
Verma, S., Sahu, A.
openaire   +3 more sources

Variational Inference with Holder Bounds

open access: yesCoRR, 2021
The recent introduction of thermodynamic integration techniques has provided a new framework for understanding and improving variational inference (VI). In this work, we present a careful analysis of the thermodynamic variational objective (TVO), bridging the gap between existing variational objectives and shedding new insights to advance the field. In
Junya Chen   +5 more
openaire   +2 more sources

Generalized Bounded Variation and Inserting point masses [PDF]

open access: yes, 2008
Let $d\mu$ be a probability measure on the unit circle and $d\nu$ be the measure formed by adding a pure point to $d\mu$. We give a simple formula for the Verblunsky coefficients of $d\nu$ based on a result of Simon.
Wong, Manwah Lilian
core   +2 more sources

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

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 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 -bounded variation but not of Λ \Lambda -bounded variation. No special assumptions on Λ \Lambda are required.
openaire   +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

A local estimate for vectorial total variation minimization in one dimension [PDF]

open access: yes, 2018
Let $\boldsymbol u$ be the minimizer of vectorial total variation ($VTV$) with $L^2$ data-fidelity term on an interval $I$. We show that the total variation of $\boldsymbol u$ over any subinterval of $I$ is bounded by that of the datum over the same ...
Giacomelli, Lorenzo, Łasica, Michał
core   +2 more sources

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

The cohomological equation for Roth type interval exchange maps [PDF]

open access: yes, 2004
We exhibit an explicit full measure class of minimal interval exchange maps T for which the cohomological equation $\Psi -\Psi\circ T=\Phi$ has a bounded solution $\Psi$ provided that the datum $\Phi$ belongs to a finite codimension subspace of the space
Marmi, Stefano   +2 more
core   +4 more sources

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