Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0737-z
Abstract: Under some conditions on $${\theta}$$θ, we characterize the set of convergence of the Marcinkiewicz-$${\theta\mbox{-}}$$θ-means of a function $${f \in L_1(\mathbb{T}^d)}$$f∈L1(Td). More exactly, the $${\theta\mbox{-}}$$θ-means converge to f at each modified strong Lebesgue point. The same… read more here.
Keywords: summability; lebesgue points; lebesgue; marcinkiewicz ... See more keywords
On Consequences of the Strong Convergence in Lebesgue–Orlich Spaces
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DOI: 10.1007/s10958-018-4075-7
Abstract: We study the continuity in the sense of the strong topology for the flux function υ → l(υ) = |υ|p(⋅) − 2υ acting from the Lebesgue–Orlicz space Lp(⋅)(Ω, ℝm) to the dual Lp ′ (⋅)(Ω, ℝm), where p′(⋅) is the Hölder-conjugate exponent, under the assumption… read more here.
Keywords: left upsilon; upsilon right; consequences strong; strong convergence ... See more keywords
Low-Cost Adaptive Lebesgue Sampling Particle Filtering Approach for Real-Time Li-Ion Battery Diagnosis and Prognosis
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DOI: 10.1109/tase.2017.2666202
Abstract: In the past decades, fault diagnosis and prognosis (FDP) approaches were developed in the Riemann sampling (RS) framework, in which samples are taken and algorithms are executed in periodic time intervals. With the increase of… read more here.
Keywords: fault; lebesgue sampling; prognosis; time ... See more keywords
The algebras of bounded and essentially bounded Lebesgue measurable functions
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DOI: 10.1515/dema-2017-0010
Abstract: Abstract Let X be a set in ℝn with positive Lebesgue measure. It is well known that the spectrum of the algebra L∞(X) of (equivalence classes) of essentially bounded, complex-valued, measurable functions on X is… read more here.
Keywords: measurable functions; extremely disconnected; essentially bounded; topology ... See more keywords
Korovkin-type theorems and their statistical versions in grand Lebesgue spaces
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DOI: 10.3906/mat-2003-21
Abstract: The analogs of Korovkin theorems in grand-Lebesgue spaces are proved. The subspace G p −π; π of grand Lebesgue space is defined using shift operator. It is shown that the space of infinitely differentiable finite… read more here.
Keywords: lebesgue spaces; korovkin type; grand lebesgue; lebesgue ... See more keywords