Linear Methods for Summing Fourier Series and Approximation Properties of Fourier Series in Weighted Lebesgue Spaces with Variable Exponent

Determination of a jump by Fourier and Fourier-Chebyshev series

‎By observing the equivalence of assertions on determining the jump of a‎ ‎function by its differentiated or integrated Fourier series‎, ‎we generalize a‎ ‎previous result of Kvernadze‎, ‎Hagstrom and Shapiro to the whole class of‎ ‎functions of harmonic bounded variation‎. ‎This is achieved without the finiteness assumption on‎ ‎the number of discontinuities‎. ‎Two results on determination of ...

Lebesgue Constants of Multiple Fourier Series

This is an attempt of a comprehensive treatment of the results concerning estimates of the L-norms of linear means of multiple Fourier series, the Lebesgue constants. Most of them are obtained by estimating the Fourier transform of a function generating such a method. Frequently the properties of the support of this function affects distinctive features in behavior of these norms. By this geome...

Local Properties of Fourier Series

A theorem on local property of |N̄,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N̄,pn|k summability factors of Fourier series have been proved.

Linear and Nonlinear Analysis of Cable Stayed Bridges By Fourier Series

Linear and Nonlinear Analysis of Cable Stayed Bridges By Fourier Series