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Positively limited p-convergent and weak* positively p-convergent operators

Operators and Matrices
Summary: The purpose of this article is to study two classes of operators, which we call positively limited \(p\)-convergent operators, and weak\(^*\) positively \(p\)-convergent operators. We discuss the relationship between these two classes of operators, and other known classes of operators such as \(p\)-convergent operators, limited \(p ...
Ardakani, H., Amjadi, Kh.
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OnL p-convergence ofU-statistics

Annals of the Institute of Statistical Mathematics, 1974
For a kernel belonging toL p-space,p>1, the rate of convergence of Hoeffding's [5]U-statistic to its expectation is studied; this includes as a special case a similar result on the sample mean previously studied by Chung [3]. Also, anL p-convergence result of Pyke and Root [8] on the sample partial sum is extended toU ...
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Almost Dunford–Pettis p-convergent operators

Advances in Operator Theory
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Ardakani, Halimeh, Vali, Fateme
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Lacunary Strong (A σ , p)-Convergence

Czechoslovak Mathematical Journal, 2005
The definition of lacunary strongly convergence is extended to the definition of lacunary strong (Aσ, p)-convergence with respect to invariant mean when A is an infinite matrix and p = (pi) is a strictly positive sequence. We study some properties and inclusion relations.
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On Weighted L p -Convergence of Certain Lagrange Interpolation

Proceedings of the American Mathematical Society, 1992
Let \(w(x):=w^{(\alpha,\beta)}(x)=(1-x)^ \alpha (1+x)^ \beta\) and let \[ x:\;-1\leq x_ ...
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Weighted L p convergence of hermite interpolation of higher order

Acta Mathematica Hungarica, 1992
Let \(n\) be a positive integer, and let \(-1< x_{nn}(w)
Vértesi, P., Xu, Y.
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p-Converging operators and Dunford–Pettis property of order p

Journal of Mathematical Analysis and Applications, 2018
Let \(X\) be a Banach space and, for \(1\leq p
Chen, Dongyang, Chávez-Domínguez, J. Alejandro, Li, Lei   +2 more
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On almost limited p-convergent operators on Banach lattices

Positivity
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Ardakani, H., Vali, F.
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On weighted $$\ell ^p$$- convergence of Fourier series: a variant of theorems of Wiener and Lévy

Advances in Operator Theory, 2020
A classical theorem of Wiener says that if a continuous function on the unit circle has absolutely convergent Fourier series and vanishes nowhere, then the reciprocal also has absolutely convergent Fourier series. Its generalisation, the Wiener-Lévi theorem, says that analytic functions act on such functions: if \(\varphi\) is analytic near range \(f\)
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Lacunary strong \((A_{\sigma },p)\)-convergence.

2005
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