A Sufficient Condition for Uniform Convergence of Double Sine Series with p-bounded Variation Coefficients

In the present paper we will introduce a new class of double sequences called $$DGM\left( p, \alpha ,\beta ,\gamma ,r\right) ,$$ which is the generalization of a class considered by Szal and Duzinkiewicz. Moreover, we obtained in this note a sufficient condition for the uniform convergence of double sine series with coefficients belonging to this class.