Abstract
We discuss the relations between the convergence fields of the functional Nörlund methods (N, p, q, π) and (N, πr+ρp+p*r,q, πρ) in the ordinary and absolute case,p, q, r being suitable Lebesgue integrable functions and π, ρ∈ϱ.
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References
Borwein D.,On products of sequences, J. London Math. Soc.,33 (1958), 352–357.
Choudhary B.,On functional Nörlund methods, Proc. Camb. Phil. Soc.,67 (1970), 47–60.
Das G.,On functional methods, J. Indian Math. Soc., (N.S.)31 (1968), 81–93.
Doetsch G.,Handbuch der Laplace-Transformation, I, Basel, 1950.
Knopp K.,Nörlund-Verfahren für Funktionen, Math. Z.,63 (1955), 39–52.
Knopp K.,—Vanderburg B.,Functional Nörlund methods, I, Rend. Circ. Mat. Palermo, (2)4 (1955), 5–32.
Kuttner B.,The generalized limit of a function, Proc. London Math. Soc., (2)47 (1941), 142–173.
Miesner W.,The convergence fields of Nörlund means, Proc. London Math. Soc., (3)15 (1965), 495–507.
Peyerimhoff A.,On convergence fields of Nörlund means, Proc. Amer. Math. Soc.,7 (1956), 335–347.
Schaper R.,Über Konvergenzfelder von verallgemeinerten Nörlundverfahren Dissertation, Kassel, 1973.
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Schaper, R. On generalized functional Nörlund methods. Rend. Circ. Mat. Palermo 28, 205–219 (1979). https://doi.org/10.1007/BF02844095
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DOI: https://doi.org/10.1007/BF02844095