O sumowaniu pewnych szeregów diniego i trygonometrycznych pojawiających się w zagadnieniach mechaniki ośrodków ciągłych

In the paper the sums of Dini and trigonometric series, which are functions of two variables x,y in (0,1), are given. By using the relationships obtained here, some known results of static and dynamic problems of the theory of continuous media are shown in a very simple form.