On the strong-Riesz mean-value theorem.
On translativity of absolute Rogosinski-Bernstein summability methods.
On two summability methods
On summability factors.
Quasi -power increasing sequences.
Results on spline-Fourier and Ciesielski-Fourier series
Some recent results on spline-Fourier and Ciesielski-Fourier series are summarized. The convergence of spline Fourier series and the basis properties of the spline systems are considered. Some classical topics, that are well known for trigonometric and Walsh-Fourier series, are investigated for Ciesielski-Fourier series, such as inequalities for the Fourier coefficients, convergence a.e. and in norm, Fejér and θ-summability, strong summability and multipliers. The connection between Fourier series...
Some absolutely effective product methods.
Some footprints of Marcinkiewicz in summability theory
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
Some inclusion theorems for absolute summability
Statistically strongly regular matrices and some core theorems.
Statistically -multiplicative matrices and some inequalities
Strong convergence.
Strong summability of Ciesielski-Fourier series
A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).
Summability factors for generalized absolute Riesz summability I
Summability Factors for Lower-Semi-Matrix Transformations.
Summability factors involving Orlicz metrics
Tauberian conditions for absolute convergence.
The absolute harmonic summability factors of infinite series
The Nikodym property for ideals of sets defined by matrix summability methods.
Theorems on strong summabillity.