Yazar "Garcia-Pacheco, Francisco Javier" seçeneğine göre listele

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    Öğe
    On f-strongly Cesaro and f-statistical derivable functions
    (Amer Inst Mathematical Sciences-Aims, 2022) Altay, Bilal; Garcia-Pacheco, Francisco Javier; Kama, Ramazan
    In this manuscript, we introduce the following novel concepts for real functions related to f-convergence and f-statistical convergence: f-statistical continuity, f-statistical derivative, and f-strongly Cesaro derivative. In the first subsection of original results, the f-statistical continuity is related to continuity. In the second subsection, the f-statistical derivative is related to the derivative. In the third and final subsection of results, the f-strongly Cesaro derivative is related to the strongly Cesaro derivative and to the f-statistical derivative. Under suitable conditions of the modulus f, several characterizations involving the previous concepts have been obtained.
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    On Modulus Statistical Convergence in Partial Metric Spaces
    (Mdpi, 2024) Garcia-Pacheco, Francisco Javier; Kama, Ramazan
    Modulus statistical convergence has been studied in very different general settings such as topological spaces and uniform spaces. In this manuscript, modulus statistical convergence is defined and studied in partial metric spaces.
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    Öğe
    Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence
    (Springer Basel Ag, 2022) Garcia-Pacheco, Francisco Javier; Kama, Ramazan; Murillo-Arcila, Marina
    In this paper, we introduce the spaces of vector-valued sequences containing multiplier (weakly) statistically convergent series. The completeness of such spaces is studied as well as some relations between unconditionally convergent and weakly unconditionally Cauchy series of these spaces. We also obtain generalizations of some results regarding uniform convergence of unconditionally convergent series through the concept of statistical convergence. Finally, we provide a version of the Orlicz- Pettis theorem for A-multiplier convergent operator series by means of the statistical convergence.