%0 Journal Article %T On Divergence of Fourier Series by Some Methods of Summability %A Shakro Tetunashvili %J Journal of Function Spaces and Applications %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/542607 %X A new summability method of series is introduced and studied. The particular cases of this method are, for example, variable-order Cesaro and Riesz methods. Applications to divergence problem of Fourier series are given. An extension of Kolmogorov, Schipp, and Bo£¿karev¡¯s well-known theorems on divergence of Fourier trigonometric, Walsh, and orthonormal series is established. %U http://www.hindawi.com/journals/jfsa/2012/542607/