Results 21 to 30 of about 2,296,853 (266)

Variation Inequalities for the Hardy-Littlewood Maximal Function on Finite Directed Graphs

open access: yesMathematics, 2022
In this paper, the authors establish the bounds for the Hardy-Littlewood maximal operator defined on a finite directed graph G→ in the space BVp(G→) of bounded p-variation functions.
Feng Liu, Xiao Zhang
doaj   +1 more source

On Bi-Dimensional Second µ-Variation

open access: yesDemonstratio Mathematica, 2014
In this paper, we present a generalization of the notion of bounded slope variation for functions defined on a rectangle Iba in ℝ2. Given a strictly increasing function µ-defined in a closed real interval, we introduce the class BVµ,2 (Iba ), of ...
Ereú Jurancy   +2 more
doaj   +1 more source

On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation [PDF]

open access: yes, 2006
Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored.
Cheung, Wing Sum   +2 more
core   +6 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   +3 more sources

Approximating Real Functions Which Possess n-th Derivatives of Bounded Variation and Applications [PDF]

open access: yes, 2007
The main aim of this paper is to provide an approximation for the function f which possesses continuous derivatives up to the order n−1 (n ≥ 1) and has the n−th derivative of bounded variation, in terms of the chord that connects its end points A = (a,
Dragomir, Sever S
core   +7 more sources

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

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

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

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

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

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