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2 Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2 Taberski R.

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On integral means of the Marcinkiewicz type

Taberski R.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1999

[Z] 39

181-196

For some measurable functions of two real variables, the structural and approximation properties of the integral means are presented. The main theorems of Section 3 correspond to the Steckin and Timan-Ponomarenko results given.

On some means of double Fourier series

Taberski R.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1998

[Z] 38

139-148

For bivariate periodic functions Lebesgue-integrable on the basic square and corresponding p>0, the rates of Lp - convergence of the means (1), (3) are estimated. The one-dimensional case was considered in Sections 3, 4 of [6].