5 papers
Pointwise strong (H, Phi) approximation by Fourier series of L^{Psi} integrable functions
Wlodzimierz Lenski
We essentially extend and improve the classical result of G. H. Hardy and J. E. Littlewood on strong summability of Fourier series. We will present an estimation of the generalized…
On estimates of deviation of conjugate functions from matrix operators of their Fourier series by some expressions with -differences of the entries
Wlodzimierz Lenski, Bogdan Szal
We extend the results of the authors from [Abstract and Applied Analysis, Volume 2016, Article ID 9712878] to the case conjugate Fourier series.
Estimates of convolution operators of functions from
Wlodzimierz Lenski, Bogdan Szal
We generalize and slight improve the result of I. I. Sharapudinov [Mat. Zametki, 1996, Volume 59, Issue 2, 291--302]. Some applications to the de la Vallée Poussin operator will al…
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…