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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 Strong Summability of Fourier Series of Summable Functions

Ukrainian Mathematical Journal, 2000
Summary: In the metric of \(L\) we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials.
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Absolute Summability Factors

Journal of the London Mathematical Society, 1970
Irwin, R. L., Peterson, G. E.
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Summability factors for generalized absolute summability. II

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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Summability Calculus

2018
This book develops the foundations of “summability calculus”, which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material that has not been published before.
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Regular summability methods in the approximation by max-min operators

Fuzzy Sets and Systems, 2022
TÜrkan Yelİz GÖkÇer, Oktay Duman
exaly  

Summability Factors for Generalized Absolute Summability. I

Proceedings of the London Mathematical Society, 1960
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