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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 Telyakovskiı̆ from one dimensional case to two dimensional case.
Xhevat Z. Krasniqi. "Integrability of Double Cosine Trigonometric Series with coefficients of bounded variation of second order." Commentationes Mathematicae 51.2 (2011): null. <http://eudml.org/doc/292277>.
@article{XhevatZ2011, abstract = {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 Telyakovskiı̆ from one dimensional case to two dimensional case.}, author = {Xhevat Z. Krasniqi}, journal = {Commentationes Mathematicae}, keywords = {Trigonometric series; sequences of bounded variation}, language = {eng}, number = {2}, pages = {null}, title = {Integrability of Double Cosine Trigonometric Series with coefficients of bounded variation of second order}, url = {http://eudml.org/doc/292277}, volume = {51}, year = {2011}, }
TY - JOUR AU - Xhevat Z. Krasniqi TI - Integrability of Double Cosine Trigonometric Series with coefficients of bounded variation of second order JO - Commentationes Mathematicae PY - 2011 VL - 51 IS - 2 SP - null AB - 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 Telyakovskiı̆ from one dimensional case to two dimensional case. LA - eng KW - Trigonometric series; sequences of bounded variation UR - http://eudml.org/doc/292277 ER -