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Functions of Bounded κφ-Variation in the Sense of Riesz-Korenblum [PDF]

Journal 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, Sergio Rivas, María Sanoja, Iván Zea   +3 more
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On Functions of Bounded (p,k)-Variation

Journal of Function Spaces and Applications, 2012
We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
doaj   +1 more source

Integral representation of functions of bounded second Φ-variation in the sense of Schramm [PDF]

Opuscula Mathematica, 2012
In this article we introduce the concept of second \(\Phi\)-variation in the sense of Schramm for normed-space valued functions defined on an interval \([a,b] \subset \mathbb{R}\). To that end we combine the notion of second variation due to de la Vallée
José Giménez, Nelson Merentes, Sergio Rivas   +2 more
doaj   +1 more source

Functions of Bounded kth p-Variation and Continuity Modulus

Journal of Function Spaces, 2015
A scale of spaces exists connecting the class of functions of bounded kth p-variation in the sense of Riesz-Merentes with the Sobolev space of functions with p-integrable kth derivative.
Odalis Mejía, Pilar Silvestre
doaj   +1 more source

Multiplication operators on the space of functions of bounded variation

Demonstratio Mathematica, 2017
In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R., Ramos-Fernández Julio C.   +1 more
doaj   +1 more source

Decomposition of Functions of Bounded Variation

The Annals of Probability, 1975
Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the functions of bounded variation other than the class of df's.
openaire   +3 more sources

Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

Journal of Inequalities and Applications
This in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded ...
Abdelghani Lakhdari, Muhammad Uzair Awan, Silvestru Sever Dragomir, Hüseyin Budak, Badreddine Meftah   +4 more
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On metric space valued functions of bounded essential variation [PDF]

Проблемы анализа, 2005
Let ∅≠T ⊂ R and let X be a metric space. For an ideal J ⊂ P(T) and a function f:T-> X, we define the essential variation V Jess(f, T) as the in mum of all variations V (g; T) where g:T-> X, g = f on TE, and E in J.
Balcerzak М., Malolepszy М.
doaj  

Two remarks on properties of functions of bounded variation

Вестник Самарского университета: Естественнонаучная серия
In terms of variations, a sufficient condition for the uniform convergence of sequences of continuous functions is proved. Using this result, we obtain an addition to the classical Helly theorem on the selection of convergent sequences of functions with ...
Sergey V. Astashkin, Vladislav M. Ershov
doaj   +1 more source

On functions of bounded p-variation

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