Results 251 to 260 of about 10,992,418 (303)

A Tauberian Theorem for a Weighted Mean Method of Summability in Ordered Spaces

open access: yesThe National Academy of Sciences, India, 2020
In this paper, we extend a Tauberian theorem for the Cesaro summability method due to Maddox (Analysis 9:297-302, 1989) in ordered spaces to the weighted mean method of ...
Ibrahim Canak
exaly   +2 more sources

Some Tauberian theorems for the product method of Borel and Cesàro summability [PDF]

open access: yesComputers and Mathematics With Applications, 2012
In this paper we prove several new Tauberian theorems for the product of Borel and Cesàro summability methods which improve classical Tauberian theorems for the Borel summability ...
Yilmaz Erdem, Umit Totur
exaly   +2 more sources

On Scales of Summability Methods

Mathematische Nachrichten, 1995
AbstractIn this paper we consider generalized Nörlund methods (Nαp), α > ‐1, power series methods (Jp) and the iteration product of two such methods. A particular case is that of the Cesaro means (Cα) with corresponding power series method (A), i.e., Abel's method.
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Consistent Summability Methods

Journal of the London Mathematical Society, 1957
Es werden zwei miteinander verträgliche (consistent), positive und permanente Matrixverfahren \(A\) und \(B\) konstruiert, zu denen es kein beide enthaltendes positives und permanentes Matrixverfahren \(C\) gibt. Die Konstruktion beruht auf folgendem Gedanken: Wenn \(A\) die Folge \(\{\sigma_n^1\} = \{1, 0, 1, 0, \ldots\}\) zu \(\frac14\) und \(B\) die
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On Riesz and Cesàro methods of summability

Transactions of the American Mathematical Society, 1933
* Presented to the Society, December 30, 1931; received by the editors August 24, 1932. t National Research Fellow. t Comptes Rendus, vol. 149 (1909), pp. 18-22. In this note Riesz considered only real positive orders r. ? Comptes Rendus, vol. 152 (1911), pp. 1651-1654. Here again Riesz considered only the case r>O.
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ON SOME ABSOLUTE SUMMABILITY METHODS

Analysis, 1987
Let \(\Sigma a_ n\) be a given infinite series with sequence of partial sums \(\{s_ n\}\). The series \(\Sigma a_ n\) is said to be summable \(| \bar N,P_ n|_ k,k\geq 1\), if \(\sum^{\infty}_{n=1}(P_ n/p_ n)^{k-1}| t_ n-t_{n-1}|^ k0\), \(P_ n=p_ 0+p_ 1+...+p_ n\to \infty\) and \(t_ n=P_ n^{- 1}\sum^{n}_{\nu =0}p_{\nu}S_{\nu}.\) In the special case when
Bor, H., Thorpe, B.
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Direct Theorems on Methods of Summability

Canadian Journal of Mathematics, 1949
1.1. A regular Toeplitz method of summability is given by a transformation m = 0, 1, 2 , … of the sequence sn into the sequence σm. According to the definition of regularity, every such method sums a convergent sequence sn to the value lim sn. The question naturally arises, whether there are more extensive classes of sequences summable by all regular
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Potent Conservative Summability Methods

Bulletin of the London Mathematical Society, 1994
The theorems of this paper are given in a very short form. Before stating them, we need to have some notation and definitions. Notation: \(\chi\) -- the set of all sequences of 0s and 1s; \(K\) -- the set of all conservative matrices; \(T\) -- the set of all thin sequences; \(F\) -- the set of all almost convergent sequences; \((M)\) -- the set of ...
Kuttner, Brian   +1 more
openaire   +1 more source

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