TR-Dizin Kapalı Erişimli Yayınlar

Permanent URI for this collectionhttps://hdl.handle.net/11727/10757

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Author: search.filters.author.Sahin Bayram, NilayStart date: 2020

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    P-Strong Convergence With Respect To An Orlicz Function
    (2022) Sahin Bayram, Nilay; GPT-3667-2022
    The concepts of strong convergence, statistical convergence, and uniform integrability are of some interest in convergence theories. Recently unver and Orhan [19] have introduced the concepts of P-strong and P-statistical convergences with the help of power series methods and established a relationship between them. In the present paper, we introduce the notion of P-strong convergence with respect to an Orlicz function and prove that all these three concepts are boundedly equivalent provided that Orlicz function satisfies o2- condition. We also get an improvement of this result by using the concept of uniform integrability.
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    Multipliers and I-core for sequences
    (2021) Gulfirat, Mustafa; Sahin Bayram, Nilay; 0000-0003-3263-8589; GPT-3667-2022
    In this paper we mainly deal with I-c((q)) - convergence. In particular we study bounded multipliers of bounded I-c((q) )- convergent sequences. We also give some I-core results and characterize the inclusion K-core {Ax} subset of I-core {x} for bounded sequences x = (x(n)).