Some transformations of type M (Q2731666)

In this note the authors have extended results of \textit{S. Mazur} [Anwendung der Theorie der Operationen bei der Untersuchung der Toeplitzschen Limitierungsverfahren, Stud. Math. 2, 40-50 (1930; JMF 56.0906.03)], \textit{K. Chandrasekhara Rao} [Continuous matrices of type M, Math. Japonicae 16, 45-49 (1971; Zbl 0221.40008)] and \textit{M. S. Ramanujan} [On summability methods of type M, J. Lond. Math. Soc. 29, 184-189 (1954; Zbl 0055.28906)], and established results on some transformations of type M involving the Cesàro and the Euler methods of summation.