Tauberian conditions for Cesàro summable double integrals

This thesis essentially consists of three chapters. In the first chapter, briefly, summability methods and the historical developments of Tauberian theory will be mentioned and studies on the subject of Cesàro summability for single and double integrals will be summarized. Also, there will be given information about the studies which will be done in the thesis. In the second chapter, firstly there will be given some basic information about the Cesàro summability of single integrals. And then, for the Cesàro summability of double integrals, some defi nitions and notations will be given and Tauberian conditions will be proved for (C; 1; 1) summability methods. In the third chapter, the concept of Cesàro summability for two variable functions will be presented and moreover Tauberian conditions will be proved by using this concept.