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A, B) Bar graphs showing the absolute abundance (y-axis) of sum of intensities of all peptides for respective proteins (Uniprot IDs, x-axis) identified from co-affinity purification samples.

Ankur Bothra (437953), Andrei Pomerantsev (3834538), Benjamin Schwarz (1527106), Anupam Mondal (4488313), Eric Bohrnsen (12206821), Nitika Sangwan (13184355), Kaitlin A. Stromberg (6700100), Mahtab Moayeri (120194), Qian Ma (69668), Rasem Fattah (120186), Sundar Ganesan (538911), Catharine M. Bosio (178161), Stephen H. Leppla (16310)   +12 more
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Absolute riesz summability factors

Periodica Mathematica Hungarica, 1989
The pioneer work of \textit{G. Sunouchi} [Kōdai Math. Seminar Reports 6, 59-62 (1954; Zbl 0057.300)] was generalized by Rath. The authors have extended Rath's result in the Indian J. Pure Appl. Math. 16, 1162-1180 (1985; Zbl 0586.40004)]. The present work is an improvement over author's previous results in the sense that here the result is obtained by ...
Sukla, Indulata, Mohanty, Peari Charan
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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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On absolute riesz and absolute Nörlund summability

Periodica Mathematica Hungarica, 1992
A study of the inclusion problem for \(| N,p|\subset| R,\lambda,k|\), \(k>0\), is taken up and a general theorem involving monotone functions \(p\) and \(\lambda\) is given. This theorem thus provides a counterpart of the theorem for the inclusion \(| R,\lambda,1|\subset| N,p|\) as given in [Indian J. Math. 7, 78-81 (1965; Zbl 0141.249); cf. also Rend.
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Some summability factor theorems for absolute summability

Analysis, 2002
The authors obtain a set of sufficient conditions on methods of summability and on sequences \(\left(e_n\right)\), so that \(\sigma a_n\) summable \(\left|\overline N,p_n\right|_k\) implies \(\sigma a_n e_n\) summable \(\left|T\right|_k\), with \(k\) greater than or equal to 1. As corollaries they obtain the results of \textit{W. T. Sulaiman} [Proc. Am.
Rhoades, B. E., Savaş, Ekrem
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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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SOME PROPERTIES OF ABSOLUTE SUMMABILITY DOMAINS

Analysis, 1989
\(\ell\) is the BK-space of sequences \(\{x_ k\}\) with convergent \(\sum | x_ k|\). Given an infinite matrix A, the A-transform of a sequence \(x=\{x_ k\}\) is written as Ax. We write \(\ell_ A=\{x:\) Ax\(\in \ell \}\) and assume \(\ell_ A\supset \phi\), the set of the finite sequences.
Macphail, M. S., Orhan, C.
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Absolute rate summability domains

Studia Scientiarum Mathematicarum Hungarica, 2004
In this paper we show that for ℓπA, E and E′ are equivalent, and that if either Λ┴πA or IπA is invariant they both are, and then Λ┴πA = IπA = lπA.
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Positivity in Absolute Summability

1987
For the investigation of absolute summability domains we employ two positivity concepts and two kinds of sectional operators. In particular we obtain a basic positivity result for Cesaro methods and subsequently two known results (of Hardy-Bohr type) concerning summability factors.
Wolfgang Beekmann, Karl Zeller
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