Convergence of exponential sampling series in logarithmic weighted spaces of functions

This thesis consists of 10 sections in total, the first section being the introduction. The second section of the thesis is devoted to the references used in the thesis, the third section is devoted to the basic notions and notations that will be used in the other sections. The fourth, fifth, sixth and seventh sections of the thesis are original and the approximation properties (pointwise/uniform convergence, rate of convergence, Voronovskaja theorem) of exponential-type sampling series are investigated in logarithmic weighted spaces of functions. In the eighth section of the thesis, some examples of kernels supporting the results obtained in sections four, five, six and seven are given and both numerical tables and graphical representations are presented by means of these examples. The ninth section of the thesis is devoted to research results and discussion. In this section, the results obtained in the thesis and their contributions to the literature are discussed. In the tenth section, which is the last section of the thesis, suggestions are made considering the results obtained from the thesis.