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On the conjugate Dirikhlet kernel
Author: Aleksandre Saatashvilisupervisor: Ushangi Goginava
Keywords: Walsh system, Lebesgue constant
General Fourier coefficients for functions of Lipα class
Author: Giorgi Tsagareishvilisupervisor: Leri Gogoladze
Keywords: Fourier coefficients, absolute convergence, Lipα class
On the convergence rate of Cesaro means of negative order of series with respect to block-orthonormal systems
Author: Givi NadibaidzeKeywords: block-orthonormal systems, Cesaro means of negative order
NOTE ON THE STRONG CONVERGENCE OF PARTIAL SUMS WITH RESPECT TO VILENKIN SYSTEM
Author: Giorgi Tutberidzesupervisor: Vakhtang Tsagareishvili, Georege Tephnadze
Keywords: Vilenkin- Fourier series, The Vilenkin systems, strong convergence, Dirichlet kernels, Fejér means
Modulus of smoothness of fractional ordar
Author: Ana DaneliaKeywords: Modulus of smoothness of fractional order
On Levy-Steinitz theorem
Author: George ChelidzeCo-authors: Vaja Tarieladze
Keywords: Levy-Steinitz theorem, rearranged series
Some remarks on the classes of functions of generalized bounded variation
Author: koba ivanadzesupervisor: Akhobadze Teimuraz
Keywords: Function of bounded variation, linear space, convergence of a sequence of functions
Representation of singular functionals on some function spaces
Author: Tengiz KopalianiCo-authors: Amiran Gogatishvili
On the Salem test of the uniform convergence of the trigonometric Fourier series
Author: Teimuraz AkhobadzeKeywords: Fourier series, uniform convergence, Salem test
On the subsequence of partial sums of double Walsh-Fourier series
Author: Ushangi GoginavaKeywords: almost everywhere converges, converges in measure, Walsh system
On the generalized absolute convergence of double Fourier trigonometric series
Author: Rusudan MeskhiaKeywords: Generalized absolute convergence, modulus of variation of a function
On the absolute convergence of Fourier series
Author: Leri GogoladzeKeywords: Fourier series, general orthonormal systems, absolute convergence
Founctions of bounded variation and unconditional convergence
Author: Vakhtang TsagareishviliKeywords: function of bounded variation, general orthonormal system, Fourier series