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pro vyhledávání: '"Szal, Bogdan"'
Autor:
Kubiak, Mateusz, Szal, Bogdan
In this paper we consider trigonometric series with p-bounded variation coefficients. We presented a sufficient condition for uniform convergance of such series in case p > 1. This condition is significantly weaker than these obtained in the results
Externí odkaz:
http://arxiv.org/abs/2305.09039
Autor:
Kubiak, Mateusz, Szal, Bogdan
In the present paper we will introduce a new class of double sequences called DGM (p, alpha, beta, gamma, r), which is the generalization of a class considered by Szal and Duzinkiewicz. Moreover, we obtained in this note a sufficient condition for th
Externí odkaz:
http://arxiv.org/abs/2305.09040
Publikováno v:
In Bulletin des sciences mathématiques July 2024 193
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
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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:
Duzinkiewicz, Krzysztof, Szal, Bogdan
The fundamental theorem in the theory of the uniform convergence of sine series is due to Chaundy and Jolliffe from 1916 (see [1]). Several authors gave conditions for this problem supposing that coefficients are monotone, non-negative or more recent
Externí odkaz:
http://arxiv.org/abs/1510.06273
Publikováno v:
Frontiers in Applied Mathematics & Statistics; 2024, p01-05, 5p