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pro vyhledávání: '"Łenski, Włodzimierz"'
Publikováno v:
In Bulletin des sciences mathématiques July 2024 193
Autor:
Lenski, Wlodzimierz
We essentially extend and improve the classical result of G. H. Hardy and J. E. Littlewood on strong summability of Fourier series. We will present an estimation of the generalized strong mean (H; Phi) as an approximation version of the Totik type ge
Externí odkaz:
http://arxiv.org/abs/1904.10515
We present an approximation version of the results of D. P. Gupta [ J. of Approx. Theory, 7 (1973), 226-238] A. N. S. Singroura [Proc. Japan Acad., 39 (4) (1963), 208-210] and G. Szeg\"{o} [Math. Z., 25 (1926), 87-115]. Some corollaries and examples
Externí odkaz:
http://arxiv.org/abs/1904.08642
Autor:
Lenski, Wlodzimierz, Szal, Bogdan
We extend the results of the authors from [Abstract and Applied Analysis, Volume 2016, Article ID 9712878] to the case conjugate Fourier series.
Externí odkaz:
http://arxiv.org/abs/1904.02985
Autor:
Lenski, Wlodzimierz, Szal, Bogdan
We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math. 17 (2013), 89-101] and the authors [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24]. to the case where in the measures of estimations there are used $r$-differences of the
Externí odkaz:
http://arxiv.org/abs/1904.02986
Autor:
Lenski, Wlodzimierz, Szal, Bogdan
We generalize and slight improve the result of I. I. Sharapudinov [Mat. Zametki, 1996, Volume 59, Issue 2, 291--302]. Some applications to the de la Vall\'{e}e Poussin operator will also be given.
Externí odkaz:
http://arxiv.org/abs/1904.02972
Akademický článek
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Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 136-152 (2022)
The pointwise estimates of the deviation Tn,Af(⋅)−f(⋅){T}_{n,A}f(\cdot )-f\left(\cdot ) in terms of pointwise moduli of continuity based on the points of differentiability of indefinite integral of ff, with application of the rth differences of
Externí odkaz:
https://doaj.org/article/7c8ad1123fa4493eae8aebc32ca55f2c
Autor:
Lenski, Wlodzimierz, Szal, Bogdan
The pointwise estimates of the deviations $\widetilde{T}_{n,A,B}^{\text{}%}f\left(\cdot \right) -\widetilde{f}(\cdot)$ and $\widetilde{T}_{n,A,B}^{% \text{}}f\left(\cdot \right) -\widetilde{f}(\cdot,\varepsilon)$ in terms of moduli of continuity $\wi
Externí odkaz:
http://arxiv.org/abs/1405.3993
Autor:
Lenski, Wlodzimierz, Szal, Bogdan
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of S^1 almost periodic functions from matrix means of partial sums of their Fourier series.
Comment: arXiv admin note: substantial text overlap with arXiv:1204.2
Comment: arXiv admin note: substantial text overlap with arXiv:1204.2
Externí odkaz:
http://arxiv.org/abs/1212.1401