Results 11 to 20 of about 736 (121)

Functions of bounded variation, signed measures, and a general Koksma–Hlawka inequality [PDF]

Acta Arithmetica, 2015
In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka inequality for non-uniform measures.
Aistleitner, Christoph, Dick, Josef
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Functions of Generalized Bounded Variation

, 2013
This thesis is devoted to the study of different generalizations of the classical conception of a function of bounded variation. First, we study the functions of bounded p-variation introduced by Wiener in 1924. We obtain estimates of the total p-variation (1<p<∞) and other related functionals for a periodic function f in Lp([0,1]) in terms of ...
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On embeddings between spaces of functions of generalized bounded variation

, 2018
In this note, we aim to establish a number of embeddings between various function spaces that are frequently considered in the theory of Fourier series. More specifically, we give sufficient conditions for the embeddings $ V[h]\subseteq \text{BV}^{(p_n\uparrow p)}$, $ V[h_1]^{(p)}\subseteq V[h_2]^{(q)}$ and $ \text{BV}^{(p_n\uparrow p)}\subseteq
Esslamzadeh, G. H., Goodarzi, M. Moazami
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Alternate characterizations of bounded variation and of general monotonicity for functions [PDF]

Illinois Journal of Mathematics, 2016
We find necessary and sufficient conditions for a function to be equal almost everywhere to a function of bounded variation. These results can be applied to broaden the class of general monotone functions.
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About the general chain rule for functions of bounded variation

Nonlinear Analysis
We give an alternative proof of the general chain rule for functions of bounded variation ([ADM90]), which allows to compute the distributional differential of $φ\circ F$, where $φ\in \mathrm{LIP}(\mathbb{R}^m)$ and $F\in\mathrm{BV}(\mathbb{R}^n,\mathbb{R}^m)$.
Brena C., Gigli N.
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On the summability of double Walsh–fourier series of functions of bounded generalized variation [PDF]

Ukrainian Mathematical Journal, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Embedding of generalized Lipschitz classes into classes of functions with Λ-bounded variation

Journal of Mathematical Analysis and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On functions of generalized bounded ω-variation [PDF]

Fundamenta Mathematicae, 1970
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Uniform Convergence of Double Fourier-Legendre series of Functions of Bounded Generalized Variation

, 2012
The Uniform convergence of double Fourier-Legendre series of function of bounded Harmonic variation and bounded partial $ $-variation are investigated.
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Generalized Absolute Convergence of Series with Respect to Multiplicative Systems of Functions of Generalized Bounded Variation

Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2017
Summary: A. Zygmund proved that a \(2\pi\)-periodic function with bounded variation and from any Lipschitz class \(\operatorname{Lip}(\alpha)\) has absolutely convergent Fourier series. This result was extended to many classes of functions of generalized bounded variation (for example, functions of bounded Jordan-Wiener \(p\)-variation, functions of ...
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