Some inequalities for Cesàro means of double Vilenkin–Fourier series [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we state and prove some new inequalities related to the rate of Lp $L^{p}$ approximation by Cesàro means of the quadratic partial sums of double Vilenkin–Fourier series of functions from Lp $L^{p}$.
T. Tepnadze, L. E. Persson
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Matrix transformations of sequences and applications in Fourier analysis [PDF]
HeliyonIn the presented paper we consider a sequence and its Nörlud and a generalized mean derived from a matrix transformation. Furthermore, sufficient conditions for the matrix are found which implies the converges of the generalized matrix means from the ...
Ushangi Goginava +3 more
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An Analogy of the Carleson–Hunt Theorem with Respect to Vilenkin Systems
Journal of Fourier Analysis and Applications, 2022 AbstractIn this paper we discuss and prove an analogy of the Carleson–Hunt theorem with respect to Vilenkin systems. In particular, we use the theory of martingales and give a new and shorter proof of the almost everywhere convergence of Vilenkin–Fourier series of$$f\in L_p(G_m)$$f∈Lp(Gm)for$$p>1$$p>1in case the Vilenkin system is bounded ...
Ferenc Weisz +2 more
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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A Note on the Strong Convergence of Partial Sums with Respect to Vilenkin System [PDF]
Journal of Contemporary Mathematical Analysis, 2019 In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.
Giorgi Tutberidze
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On the Convergence of Partial Sums with Respect to Vilenkin System on the Martingale Hardy Spaces [PDF]
Journal of Contemporary Mathematical Analysis, 2018 In this paper we derive characterizations of boundedness of the subsequences of partial sums with respect to Vilenkin system on the martingale Hardy spaces when ...
Giorgi Tephnadze
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Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces
Acta Mathematica HungaricaIn this paper we improve and complement a result by Móricz and Siddiqi \cite{Mor}. In particular, we prove that their estimate of the Nörlund means with respect to the Vilenkin system holds also without their additional condition. Moreover, we prove a similar approximation result in Lebesgue spaces for any $1\leq p<\infty$.
Anakidze, N. +2 more
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The role of spatial curvature in constraining the Universe anisotropies across a Big Bounce
European Physical Journal C: Particles and Fields, 2023 We study the implementation of Polymer Quantum Mechanics (PQM) to a system decomposed into a quasi-classical background and a small quantum subsystem, according to the original Vilenkin proposal.
Eleonora Giovannetti, Giovanni Montani
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A local Wheeler-DeWitt measure for the string landscape
Nuclear Physics B, 2023 According to the ‘Cosmological Central Dogma’, de Sitter space can be viewed as a quantum mechanical system with a finite number of degrees of freedom, set by the horizon area.
Bjoern Friedrich +4 more
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Convergence of 𝑇 means with respect to Vilenkin systems of integrable functions
Georgian Mathematical Journal, 2022 Abstract In this paper, we derive the convergence of 𝑇 means of Vilenkin–Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilenkin–Lebesgue points. Moreover, we discuss the pointwise and norm convergence in
Baramidze, Davit +2 more
openaire +3 more sources