Publications
Talk · AIP conference proceedings · January 1, 2015
Variational modulus of continuity and coefficients of the double Fourier-Haar series
Nurzhan Bokayev, Talgat Akhazhanov
Abstract
In this paper, the notion of variational modulus of continuity of a function in two variables is introduced. An estimate of the sum of the coefficients of the double Fourier-Haar series via the variational modulus of continuity is given. Theorems on absolute convergence of series containing the coefficients of double Fourier-Haar series are proved.
Approximation Theory and Sequence SpacesAdvanced Harmonic Analysis ResearchMathematical Analysis and Transform MethodsHaar systemdouble trigonometric seriescoefficient estimates
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