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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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L p -convergence of Lagrange interpolation on the semiaxis

Acta Mathematica Hungarica, 2008
The authors study the approximation of functions defined on the unbounded interval \({\mathbb R}^+\), by means of Lagrange polynomials in weighted \(L^p\) spaces. They show their convergence in these spaces. These results can be used in the projection methods in order to approximate the solution of some functional equations.
LAURITA, Concetta   +1 more
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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 p-convergent sequences and p-Cauchy sequences in fuzzy metric spaces

Fuzzy Sets and Systems, 2023
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Li, Changqing, Zhang, Yanlan
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Limited $p$-converging operators and relation with some geometric properties of Banach spaces

Commentationes Mathematicae Universitatis Carolinae, 2022
Let \(X\) and \(Y\) be Banach spaces and \(1\le p\le\infty\). A bounded linear operator \(T:X\to Y\) is called \(p\)-converging if it transfers weakly \(p\)-summable sequences, i.e., sequences \((x_n)\subset X\) with \((\left)\in\ell_p\) for all \(x^*\in X^*\), into norm null sequences. A sequence \((x_n)\subset X\) is weakly \(p\)-convergent to \(x\in
Dehghani, Mohammad B.   +1 more
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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   +2 more
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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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On almost limited p-convergent operators on Banach lattices

Positivity
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Ardakani, H., Vali, F.
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Lacunary strong \((A_{\sigma },p)\)-convergence.

2005
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