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Integrability of trigonometric series with generalized semi-convex coefficients

Krasniqi X. Z.

Opuscula Mathematica

2012

Vol. 32, no. 3

521-528

In this paper we deal with cosine and sine trigonometric series with generalized semi-convex coefficients. Integrability conditions for them are obtained.

On the degree of approximation of continuous functions by matrix means related to partial sums of a Fourier series

Krasniqi X. Z.

Commentationes Mathematicae

2012

Vol. 52, [Z] 2

207--215

In this paper we generalize some results on the degree of approximation of continuous functions by matrix means related to partial sums of a Fourier series, obtained previously by some other authors (please consult references cited in this paper).

Integrability of Double Cosine Trigonometric Series with coefficients of bounded variation of second order

Krasniqi X. Z.

Commentationes Mathematicae

2011

Vol. 51, [Z] 2

125-139

In this paper integrability condition for double cosine trigonometric series with coefficients of bounded variation of second order has been obtained. This condition is given explicitly in terms of the coefficients. The result extends a previous result of Telyakovskii from one dimensional case to two dimensional case