Almost Everywhere Summability of Vilenkin-Fourier Series

dc.contributor.advisor	Gát, György
dc.contributor.author	Adimasu, Anteneh Tilahun
dc.contributor.department	Matematika- és számítástudományok doktori iskola	hu
dc.date.accessioned	2022-03-17T12:39:30Z
dc.date.available	2022-03-17T12:39:30Z
dc.date.created	2022	hu_HU
dc.date.defended	2022-09-22
dc.description.abstract	In this PhD dissertation we discuss, develop and apply this fascinating theory connected to modern harmonic analysis. In particular, we make new estimations of Vilenkin-Fourier Dirichlet kernel, Cesaro kernel and prove some new results concerning boundedness of maximal operators of Cesaro means ` in the variable parameter setting. Moreover, we prove the almost everywhere convergence of Cesaro means with respect to the Vilenkin system in the vari- able parameter setting. Besides, we also do a similar investigation for the generalized Marcinkiewicz means with respect to Vilenkin-like systems.	hu_HU
dc.description.corrector	LB
dc.format.extent	89	hu_HU
dc.identifier.uri	http://hdl.handle.net/2437/329317
dc.language.iso	en	hu_HU
dc.subject	Almost Everywhere Summability	hu_HU
dc.subject	Vilenkin-Fourier Series
dc.subject	(C,alpha) mean
dc.subject	Marcinkiewicz kernel and means
dc.subject.discipline	Matematika- és számítástudományok	hu
dc.subject.sciencefield	Természettudományok	hu
dc.title	Almost Everywhere Summability of Vilenkin-Fourier Series	hu_HU
dc.title.translated	Almost Everywhere Summability of Vilenkin-Fourier Series	hu_HU

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