Results 121 to 130 of about 17,183,410 (158)
Conduction through demyelinated plaques in multiple sclerosis: computer simulations of facilitation by short internodes. [PDF]
Waxman SG, Brill MH.
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APPROXIMATION BY T MEANS WITH RESPECT TO VILENKIN SYSTEM IN LEBESGUE SPACES
Nino Anakidze +3 more
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On the Vilenkin–Chrestenson systems and their rearrangements
Journal of Mathematical Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mikhail Plotnikov
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On a Norm Inequality with Respect to Vilenkin-Like Systems [PDF]
\textit{G. Gát} [``On \(C,1)\) summability of integrable functions on compact totally disconnected spaces'', Stud. Math. (to appear)] has introduced a complete orthonormal system which generalizes the Vilenkin systems, the additive characters of an \(m\)-adic field, and UDMD systems.
Blahota, István, +5 more
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Investigations of certain operators with respect to the Vilenkin system
Acta Mathematica Hungarica, 1993The author examines Vilenkin analogues of Walsh series results of \textit{P. Simon} for strong convergence [Acta Math. Hung. 49, 425-431 (1987; Zbl 0643.42020)] and for the Sunouchi operator [Acta Math. Hung. 46, 307-310 (1985; Zbl 0591.42019)]. He shows that if \(f\) belongs to the atomic Hardy space \(H^ 1(G_ m)\), for any Vilenkin group \(G_ m ...
G Gat
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On Universal Pairs Relative to the Vilenkin System
Russian MathematicsIn this paper it is proved that there exist universal pairs $\big({\{\lambda_{k,s}\}_{_{k,s=0} }^{\infty}}\mathbf{,}E\big)$ in the sense of modification with respect to double multiplicative systems. A universal series with respect to the double Vilenkin system in the class of measurable functions of two variables is constructed.
M G Grigoryan
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On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system
Acta Mathematica Hungarica, 1985The authors study a family of complete orthonormal systems defined by \textit{N. Ya. Vilenkin} [Izv. Akad. Nauk SSSR, Ser. Mat. 11, 363-400 (1947; Zbl 0036.356)]. They find some upper bounds for the Dirichlet kernel with respect to these systems and prove a Hardy type inequality as follows. Theorem 4. There exists an absolute constant \(C>0\) such that
Fridli, S., Simon, P.
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Example of a divergent Fourier series in the Vilenkin system
Mathematical Notes, 2011We construct an example of a function from the class $Lo(\sqrt {\ln ^ + L} )$ whose Fourier-Vilenkin series diverges almost everywhere.
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Some New Results on the Strong Convergence of Fejér Means with Respect to Vilenkin Systems
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Persson, L.-E. +3 more
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