A generalization of the Sα-summation method
Published online by Cambridge University Press: 24 October 2008
Extract
In 1949, Meyer-König (5) introduced the so-called Sα-method of summability which is one of a family of transformations including the Euler, Borel and Taylor methods. Later in 1959, Jakimowski (3) defined the [F, dn] transformation which includes the Euler method as a special case. If {dn} is given infinite sequence and E denotes the displacement operator (i.e. Eks0 = sk), then the [F, dn] transformation of {sn} is given by {tn} where
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 61 - 66
- Copyright
- Copyright © Cambridge Philosophical Society 1970
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