Results 251 to 260 of about 663,521 (284)

Some Theorems on Absolute Summability

Canadian Journal of Mathematics, 1951
A summation method defined by the linear transformation will be called an l-l method if ∑|yr| < ∞ whenever ∑|xk| < ∞; if in addition we have ∑yr = ∑xk whenever ∑|xk| < ∞ we shall say the ...
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Summability factors for generalized absolute summability. II

2001
Summary: A new theorem concerning the characterization of absolute summability factors has been proved. [For Part I and III see ibid. 31--39 (2001; Zbl 1078.40501) and 47--52 (2001; Zbl 1078.40502).]
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Absolute Summability Factors

Journal of the London Mathematical Society, 1970
Irwin, R. L., Peterson, G. E.
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On the Absolute Summability of Fourier Series

Journal of the London Mathematical Society, 1942
Unter \(f (x)\) werde eine mit \(2\pi\) periodische, \(L\)-integrable Funktion verstanden; ihre Fourierreihe laute \[ f (x) \sim \frac {a_0}2 + \sum_{n=1}^\infty (a_n \cos\, nx + b_n \sin\, nx). \tag{1} \] Die Funktion \(f (x)\) heißt zur Klasse \(\text{Lip}\,k\) \((0 < k \leq 1)\) gehörig, wenn gleichmäßig für alle \(x\) \[ |f(x+t)-f(x)|= O(|t|^k ...
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A note on absolute summability factors.

2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bor, Hüseyin, Özarslan, Hikmet
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Absolute Summability Factors in a Sequence

Canadian Mathematical Bulletin, 1984
AbstractLet α≥0 and β>— 1. The main result gives necessary and sufficient conditions for the sequence (εn) in order that the sequence (εnUn) will be absolutely summable by the Cesàro method Cβ for each sequence (Un) which is bounded or summable by the method CαAnother theorem is proven when Cα and Cβ are replaced by triangular methods A = (ank) and ...
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Absolute Cesàro summability factors

2002
The author intends to generalize a theorem concerning \(|C,1|_k\) summability factors to \(|C,\alpha, \beta, \delta|_k\) summability using \(\delta\)-quasi-monotone sequences. Unfortunately his Lemma 3 is not correct, consequently the proof of the theorem is not complete. The author will publish a correction soon (personal information).
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ON ABSOLUTE SUMMABILITY FACTORS

1969
Irwin, R. L., Peyerimhoff, A.
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Absolute Summability

2022
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On Absolute Riesz Summability Factors

Journal of the London Mathematical Society, 1964
Borwein, D., Shawyer, B. L. R.
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