Filtreler

2016 - 20205
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Yazar: Yılmaz, Yılmaz × Erişim Hakkı: Attribution-NonCommercial-ShareAlike 3.0 United States ×

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Listeleniyor 1 - 5 / 5
  • Küçük Resim
    Öğe
    Some new results on inner product quasilinear spaces
    (Taylor & Francis, 2016-06-28) Bozkurt, Hacer; Yılmaz, Yılmaz
    In this article, we research on the properties of the floor of an element taken from an inner product quasilinear space. We prove some theorems related to this new concept. Further, we try to explore some new results in quasilinear functional analysis. Also, some examples have been given which provide an important information about the properties of floor of an inner product quasilinear space.
  • Küçük Resim
    Öğe
    Biquasilinear functionals on quasilinear spaces and some related results
    (Erzincan Üniversitesi, 2020-03-20) Bozkurt, Hacer; Yılmaz, Yılmaz
    In this paper, we will present the notion of the biquasilinear functional which is a new concept of quasilinear functional analysis. Just like bilinear functional, the notions of a biquasilinear functional and a quadratic form will not need to have the constitution of an inner product quasilinear space. We were able to define these functionals in any quasilinear space. After giving this new notion, we discuss some examples and prove some theorems for considerable exercises to the theory of biquasilinear functionals in Hilbert quasilinear spaces
  • Küçük Resim
    Öğe
    On inner product quasilinear spaces and hilbert quasilinear spaces
    (2016) Bozkurt, Hacer; Yılmaz, Yılmaz
    In this paper, we state some properties of inner product quasilinear spaces. Moreover we introduce the concepts of inner product Ω-space, Hilbert Ω-space and investigate some related theorems. Also, we establish some differences of inner product quasilinear spaces from the inner product (linear) spaces
  • Küçük Resim
    Öğe
    New inner product quasilinear spaces on interval numbers
    (Hindawi, 2016) Bozkurt, Hacer; Yılmaz, Yılmaz
    Primarily we examine the new example of quasilinear spaces, namely, "IRn interval space." We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear dependence-independence and basis on quasilinear functional analysis, we obtain some results on IRn interval space related to these concepts. Secondly, we present Is,Ic0,Il∞, and Il2 quasilinear spaces and we research some algebraic properties of these spaces. We obtain some new results and provide an important contribution to the improvement of quasilinear functional analysis.
  • Küçük Resim
    Öğe
    Some new properties of inner product quasilinear spaces
    (University of Prishtina, 2016-03) Bozkurt, Hacer; Yılmaz, Yılmaz
    In the present paper, we introduce over symmetric set on a inner product quasilinear spaces. We establish some new results related to this new concept. Further, we obtain new conclusions for orthogonal and orthonormal subspaces of inner product quasilinear spaces. These results generalize recent well known results in the linear inner product spaces. Also, some examples have been given which provide an important contribution to understand the structure of inner product quasilinear spaces.