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On the strong lacunary convergence and strong Ces´aro summability of sequences of real-valued
lacunary sequence strong lacunary convergence strongly Ces´ aro summable pointwise statistical convergence
2009/1/7
In this paper we introduce the concepts of the strong lacunary
convergence and strong Ces´aro summabilty of sequences of real-valued
functions. We also give the relations between these converg...
ON ABSOLUTE CES `A RO SUMMABILITY FACTORS OF INFINITE SERIES
Absolute Ces aro summability infinite series summability factors
2008/11/25
In this paper, a general theorem concerning the j¡j C;1 jk summability factors of
infinite series has been proved.
Convergence of the Cesàro-like Means on p-adic Hilbert Spaces
p-adic Hilbert spaces nonexpansive mappings
2008/11/25
Convergence of the Cesàro-like Means on p-adic Hilbert Spaces。
Combinations of Distinguished Subsets and Cesàro Conullity
FK-Spaces Conull Spaces Cesàro Conull Spaces Distinguished Subpaces
2008/11/25
In this paper we give some characterizations in connection (weak) Cesàro wedge and
(strongly) Cesàro conull for Montel and reflexive FK-spaces and we show that subspaces
σS and σW are closely relate...
对加权Dirichlet空间$${\cal D}_{\alpha}=\left\{f\in H(D) ; ||f||_{{\cal D}_{\alpha}}^{2}=|f(0)|^{2}+\int_{D}|f'(z)|^{2}(1-|z|)^{\alpha}\d m(z)<+\infty \right\},~~-1<\alpha<+\infty,$$我们研究了其上一般Ces$\grave{a}$r...
Cesáro Means of $N$-multiple Trigonometric Fourier Series
Trigonometric system Cesáro means Summability
2008/7/1
Cesáro Means of $N$-multiple Trigonometric Fourier Series.
<正> 1.Introduction.It is classical that,if the Fourier series of a function ψ(t) ofbounded variation is (?) sin nt,the sequence (?) is bounded.This resultcannot be improved.“For,the function (?) whose...
The Spectra and Fine Spectra For P-Cesáro Operators
Spectra Fine Spectra P-Cesáro Operators
2010/3/5
In [6], Rhaly computed the spectrum of p-Cesaro operator on the Hilbert space l2 = {x = (xk): Sk IXkl2 < infinite}. In the present paper, we study the spectrum and fine spectrum for p-Cesáro operators...