Kayaduman, Kudusi2019-05-082019-05-082004Kayaduman, K. (2004). Vσ-uzayının bir genelleştirmesi üzerine. Yayımlanmış Doktora lisans tezi, İnönü Üniversitesi, Malatya.https://hdl.handle.net/11616/10389ÖZET Doktora Tezi K-UZAYININ BİR GENELLEŞTİRMESİ ÜZERİNE Kudusi KAYADUMAN İnönü Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı 35+vii sayfa 2004 Danışman: Doç. Dr. Hüsamettin COŞKUN Üç bölümden oluşan bu çalışmanın ilk bölümünde; sonraki bölümlerin daha iyi anlaşılması için temel tanım ve literatürde dönüşüm teoremleri olarak bilinen teoremlere yer verildi. Orijinal kısmın ilki olan ikinci bölümde; Savaş [1] tarafından tanıtılanABSTRACT Ph.D. Thesis ON A GENERALIZATION OF Va- SPACE Kudusi KAYADUMAN İnönü University- Graduate School of Natural and Applied Sciences Department of Mathematics 35+vii pages 2004 Supervisor: Doç. Dr. Hüsamettin COŞKUN In the first chapter of this study which consists of three chapter; the basic definitions and theorems that known as mapping theorems in the literature was given briefly to make the next chapters can be understood. In the second chapter including the first original part of this study; the concept of a^- summability by introduced Savaş [1] was given and the conditions on infinite matris A was obtained to satisfy the set inclusions c C V^a), Va C Va{A) and V^a) C Va. Further, the class of matrices transforming the spaces m, c, Va and Sum into Va(A), the spaces of all cr(i4^-convergent sequences, was characterized. In the last chapter; a sublinear functional K(x) was defined on m and necessity and sufficient conditions for a infinite matris B to yield K(Bx) < L(x), K(Bx) < qff(x) and K(Bx) < fi(x) for all x G m are determined. Keywords: Sequences spaces, statistically convergence, matrix transformation and inequalities.trinfo:eu-repo/semantics/closedAccessMatematikMathematicsDoctoral Thesis142