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Pointwise strong approximation of almost periodic functions in S^1
Wlodzimierz Lenski, Bogdan Szal
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of S^1 almost periodic functions from matrix means of partial sums of their Fourier series.
On the degree of strong approximation of almost periodic functions in the Stepanov sense
Wlodzimierz Lenski, Bogdan Szal
Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and…
On L-convergence of trigonometric series
Bogdan Szal
In the present paper we consider the trigonometric series with (b,r)-general monotone and (b,r)-rest bounded variation coefficients. Necessary and sufficien conditions of L-converg…
A new class of numerical sequences and its applications to uniform convergence of sine series
Bogdan Szal
In the present paper we introduce a new class of sequences called GM(b,r), which is the generalization of a class considered by Tikhonov. Moreover, we obtained in this note suffici…