Yazar "Kara, Merve İlkhan" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim
    Öğe
    Compact Operators on Cesàro sequence spaces and norms of Cesàro operators
    (University of Nis, 2023) Kara, Merve İlkhan; Roopaei, Hadi
    This paper deals with the characterization of compact operators on Cesàro sequence spaces as an application of Hausdorff measure of noncompactness. Further, the norms of Cesàro operators on certain spaces are investigated. © 2023, University of Nis. All rights reserved.
  • Küçük Resim
    Öğe
    A study on q-analogue of Catalan sequence spaces
    (University of Nis, 2023) Yaying, T.; Kara, Merve İlkhan; Hazarika, B.; Kara, Emrah,Evren
    In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0 (C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0 (C(q)) and c(C(q)) to the space µ = {??, c0, c, ?1 } and give the necessary and sufficient conditions for a matrix operator to be compact. © 2023, University of Nis. All rights reserved.
  • Küçük Resim
    Öğe
    A weighted mean Hausdorff type operator and its summability matrix domain
    (Springer, 2022) Kara, Merve İlkhan; Roopaei, Hadi
    In this research, we firstly introduce a criterion for factorizing an operator based on the gamma operator, and as a result we present two factorizations for the Cesaro and Hilbert operators. As another point of view, we study some properties of the matrix domain associated with the gamma matrix of order n and compute the duals of this space. Moreover, we compute the norm of well-known operators into, from, and on the gamma sequence space.