Master'sOpen Access

Geometric properties of some sequence spaces

2007
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Advisor: Prof. Dr. Metin Başarır

Abstract (EN)

Key Words: C( s, p) Sequnce Space, Cesaro Sequence Space, Musielak-Orlicz Sequence Space, Nakano Sequence Space, Köthe Sequence Space, Modul, Luxemburg Norm, Orlicz Norm, This study which is entitled ?Geometric Properties of Some Sequence Spaces? contains six chapters. The first four chapters are composed of a compilation of some studies on this subject. The fifth chapter is contained original results which related to the geometric properties of C( s, p) sequence space. In the first chapter, some basic definitions and theorems which are used in the following chapters, are given. In the second chapter, Modular spaces are introduced. The explanation of the term of modular, definition of modular spaces and modular convergence are examined. In the third chapter, the sequence spaces whose geometric properties will examined are introduced. Fourth chapter deals with the theorems and examples which are concerned with the geometric properties of the sequence spaces. In the fifth chapter, we obtained some general results about the geometric properties of generalized Cesaro sequence space C( s, p) . The last chapter gives some general results which are obtained.

Author

Dr. Mahpeyker Öztürk

How to Cite

Mahpeyker Öztürk (Master Thesis). Geometric properties of some sequence spaces, 2007, Sakarya University.

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