New properties of the Natarajan method of summability

• Autorzy: Natarajan P. N.

Identyfikatory

DOI

10.14708/cm.v55i1.810

• Języki publikacji: EN

Abstrakty

EN

The M; λ_n method of summability was introduced in 2013 by Natarajan. In the paper some new properties of this method are studied.

Słowa kluczowe

EN

regular matrix; (M; λn) method of summability; l-stronger; l-equivalent; ordered abelian semigroup; infinite chain

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2015
• Tom: Vol 55, No. 1
• Strony: 9--15
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Natarajan P. N.

• Old No. 2/3, New No. 3/3, Second Main Road, R.A. Puram, Chennai 600 028, India

Bibliografia

• [1] J. Defranza, An ordered set of Nörlund means, Internat. J. Math. Math. Sci. 4 (1981), 353–364, DOI 10.1155/S0161171281000215.
• [2] G.H. Hardy, Divergent Series, Oxford University Press, Oxford 1949.
• [3] K. Knopp and G.G. Lorentz, Beiträge zur absoluten Limitierung, Arch. Math. 2 (1949), 10–16.
• [4] P. N. Natarajan, On the (M; λn) method of summability, Analysis (München) 33 (2013), no. 2, 51–56.
• [5] P. N. Natarajan, A product theorem for the Euler and the Natarajan methods of summability, Analysis (München) 33 (2013), no. 2, 189–195.
• [6] P. N. Natarajan, Cauchy multiplication of (M; λn) summable series, Advancement and Development in Mathematical Sciences 3 (2012), no. 1–2, 39–46.