Sezer, Sefa Anıl2024-07-122024-07-122021Sezer, S. A. (2021). Conditions for the pringsheim convergence of double sequences that are deferred cesàro summable. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-3.978-0-7354-4078-4https://aip.scitation.org/doi/10.1063/5.0042110https://hdl.handle.net/20.500.12415/1968For a given real or complex valued double sequence (umn), its deferred Cesaro means are defined by ` D(11) mn (u) = 1 (?m ? ?m)(qn ? pn) ?m j=?m+1 qn k=pn+1 ujk (1) where (pn), (qn), (?m) and (?m) are the sequences of non-negative integers satisfying pn < qn, ?m < ?m and limn qn = ?, limm ?m = ?. We say that (umn) is deferred Cesaro summable (briefly ( ` DC, 1, 1) summable) to if (1) tends to as m, n ? ?. Note that, if pn = 0, qn = n and ?m = 0, ?m = m, then corresponding (DC, 1, 1) method is the well known Cesaro summability ( ` C, 1, 1). In this extended abstract we give inverse conditions to obtain Pringsheim convergence of deferred Cesaro summable double ` sequences. We also give an inclusion relation with example.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessDeferred Cesaro meansdouble sequencesconvergence in Pringsheim’s senseinverse conditionsinclusion relationsConference Object31