Ortogonal Serilerin Mutlak Genelleştirilmiş Hausdorff Toplanabilmesi Üzerine

The aim of this study which compose of five parts, is to investigate absolute generalized Hausdorff summability of orthogonal series. In the first chapter, information about the historical development of the theory of summability is given. In the second chapter, the basic definitions and theorems used in this study are given. In the third chapter ,the proofs of theorems with respect to absolute generalized Nörlund summability of orthogonal series are investigated. Using lemmas to prove these theorems are given. In the fourth chapter ,the proofs of theorems with respect to absolute generalized Hausdorff summability of orthogonal series are investigated. In the fifth section, a theorem with respect to absolute generalized Nörlund summability of Fourier series that is no in literatüre is proved.