Výsledky vyhledávání - "György Gát"

Cesàro means with varying parameters of Walsh–Fourier series

Publikováno v: Periodica Mathematica Hungarica.

In this paper we discuss some convergence and divergence properties of subsequences of Cesàro means with varying parameters of Walsh–Fourier series. We give necessary and sufficient conditions for the convergence regarding the weighted variation o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6f24e0340f084484ee3e8c7d6cfd1a8d
https://doi.org/10.1007/s10998-022-00499-x

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Almost Everywhere Convergence of the Cesàro Means of Two Variablewalsh–Fourier Series with Variable Parameters

Autor: György Gát, A. A. Abu Joudeh

Publikováno v: Ukrainian Mathematical Journal. 73:337-358

It is shown that the maximal operator of some (C, βn)-means of cubical partial sums of two variable Walsh–Fourier series of integrable functions is of weak type (L1,L1). Moreover, the (C, βn)-means $$ {\sigma}_{2^n}^{\beta_n}f $$ of the function

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8ce92b578f61f9dc2799e9165af2908f
https://doi.org/10.1007/s11253-021-01928-9

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Almost everywhere convergence of Riesz means of one-dimensional Fourier series on the group of 2-adic integers

Autor: Gábor Lucskai, György Gát

Publikováno v: Novi Sad Journal of Mathematics. 52:151-164

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3dcd85d3fb09bacd7b3abb36be88bbca
https://doi.org/10.30755/nsjom.12069

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Almost everywhere convergence of Cesàro means of two variable Walsh – Fourier series with varying parameteres

Autor: György Gát, A. A. Abu Joudeh

Publikováno v: Ukrains’kyi Matematychnyi Zhurnal. 73:291-307

UDC 517.5 We prove that the maximal operator of some $(C , \beta_{n})$ means of cubical partial sums of two variable Walsh – Fourier series of integrable functions is of weak type $(L_1,L_1)$. Moreover, the $ (C , \beta_{n})$-means $\sigma_{2^n}^{\

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2177d94e1fe33b27dd685c31af768c37
https://doi.org/10.37863/umzh.v73i3.196

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Multi-parameter setting (c,α) means with respect to one dimensional Vilenkin system

Autor: György Gát, Anteneh Tilahun

Publikováno v: Filomat. 35:4121-4133

We prove that the maximal operator of the (C,?n)-means of the one dimensional Vilenkin-Fourier series is of weak type(L1, L1). Moreover, we prove the almost everywhere convergence of the (C,?n) means of integrable functions (i.e. ? ?n n f ? f ), wher

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https://doi.org/10.2298/fil2112121g

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Pointwise Strong Summability of Vilenkin–Fourier Series

Autor: Ushangi Goginava, György Gát

Publikováno v: Mathematical Notes. 108:499-510

In this paper, we give a description of points at which the strong means of VilenkinFourier series converge.

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https://doi.org/10.1134/s0001434620090229

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Numerical solution of linear differential equations by Walsh polynomials approach

Autor: György Gát, Rodolfo Toledo

Publikováno v: Studia Scientiarum Mathematicarum Hungarica. 57:217-254

In 1975 C. F. Chen and C. H. Hsiao established a new procedure to solve initial value problems of systems of linear differential equations with constant coefficients by Walsh polynomials approach. However, they did not deal with the analysis of the p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd635f8c236733440c2316a81f67c56a
https://doi.org/10.1556/012.2020.57.2.1459

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