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The Jordan Decomposition in Ordered Normed Spaces
In this paper, we give some conditions over an ordered normed space such that the Jordan decomposition of a vector-valued bounded variation function...
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Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
We derive the variational formula of the Loewner driving function of a simple chord under infinitesimal quasiconformal deformations with Beltrami...
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Relatively compact sets of Banach space-valued bounded-variation spaces
In this paper, we give criteria for the relatively compact sets of Banach space-valued bounded-variation spaces in the sense of Jordan and Banach...
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Teichmüller’s Modulsatz and the Variation of the Dirichlet Integral
We show that changing the level curve of a harmonic function with the classical Hadamard variation with a small parameter entails a change in the...
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Convolution Integral Operators in Variable Bounded Variation Spaces
Working in the frame of variable bounded variation spaces in the sense of Wiener, introduced by Castillo, Merentes, and Rafeiro, we prove convergence...
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On separation by function of bounded variation
In the present paper we are concerned with the problem of separation of two given functions by an increasing (decreasing) function or by a function...
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From Approximate Variation to Pointwise Selection Principles
The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation....
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Zero Lie/Jordan Product Determined Algebras
In this chapter, we will be primarily interested in the question of which associative algebras, viewed either as Lie algebras under the Lie product...
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Variation type characterization of product Hardy spaces
In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a...
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Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation
AbstractAn estimate for the convergence rate of the Fourier series of a continuous periodic function of bounded variation is refined.
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Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded \(p\)-Variation
AbstractWe obtain an estimate for the convergence rate of the Fourier series of a continuous periodic function in terms of the modulus of...
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A variation of the q-Wolstenholme theorem
We investigate a variation of the q -Wolstenholme theorem, which extends the q -analogue of Wolstenholme’s theorem due to Shi and Pan (Am Math Mon...
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Differentialgleichungssysteme
Übersicht 8.1 Standardform und Taylor-Approximation 8.2 Fundamentalmatrix für ein lineares Differentialgleichungssystem...
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Metric Fourier Approximation of Set-Valued Functions of Bounded Variation
We introduce and investigate an adaptation of Fourier series to set-valued functions (multifunctions, SVFs) of bounded variation. In our approach we...
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Betwixt Turing and Kleene
Turing’s famous ‘machine’ model constitutes the first intuitively convincing framework for computing with real numbers. Kleene’s computation schemes...