On the conjugate Dirikhlet kernel

Author: Aleksandre Saatashvili
supervisor: Ushangi Goginava
Keywords: Walsh system, Lebesgue constant

General Fourier coefficients for functions of Lipα class

Author: Giorgi Tsagareishvili
supervisor: 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 Nadibaidze
Keywords: block-orthonormal systems, Cesaro means of negative order

NOTE ON THE STRONG CONVERGENCE OF PARTIAL SUMS WITH RESPECT TO VILENKIN SYSTEM

Author: Giorgi Tutberidze
supervisor: 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 Danelia
Keywords: Modulus of smoothness of fractional order

On Levy-Steinitz theorem

Author: George Chelidze
Co-authors: Vaja Tarieladze
Keywords: Levy-Steinitz theorem, rearranged series

Some remarks on the classes of functions of generalized bounded variation

Author: koba ivanadze
supervisor: 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 Kopaliani
Co-authors: Amiran Gogatishvili

On the Salem test of the uniform convergence of the trigonometric Fourier series

Author: Teimuraz Akhobadze
Keywords: Fourier series, uniform convergence, Salem test

On the subsequence of partial sums of double Walsh-Fourier series

Author: Ushangi Goginava
Keywords: almost everywhere converges, converges in measure, Walsh system

On the generalized absolute convergence of double Fourier trigonometric series

Author: Rusudan Meskhia
Keywords: Generalized absolute convergence, modulus of variation of a function

On the absolute convergence of Fourier series

Author: Leri Gogoladze
Keywords: Fourier series, general orthonormal systems, absolute convergence

Founctions of bounded variation and unconditional convergence

Author: Vakhtang Tsagareishvili
Keywords: function of bounded variation, general orthonormal system, Fourier series