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Abstrakty
We consider the class GM(₂β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
45-63
Opis fizyczny
Daty
wydano
2016
otrzymano
2016-01-26
poprawiono
2016-03-01
Twórcy
autor
- Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland
autor
- Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland
autor
- Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland
Bibliografia
- [1] A. Avantaggiati, G. Bruno and B. Iannacci, The Hausdorff-Young theorem for almost periodic functions and some applications, Nonlinear Analysis, Theory, Methods and Applications 25 (1) (1995), 61-87.
- [2] A.D. Bailey, Almost Everywhere Convergence of Dyadic Partial Sums of Fourier Series for Almost Periodic Functions, Master of Philosophy, A thesis submitted to School of Mathematics of The University of Birmingham for the degree of Master of Philosophy, September, 2008.
- [3] A.S. Besicovitch, Almost Periodic Functions (Cambridge, 1932).
- [4] L. Leindler, On the uniform convergence and boundedness of a certain class of sine series, Analysis Math. 27 (2001), 279-285. doi: 10.1023/A:1014320328217
- [5] L. Leindler, A new extension of monotone sequence and its application, J. Inequal. Pure and Appl. Math. 7 (1) (2006) Art. 39, pp. 7.
- [6] W. Łenski, Pointwise strong and very strong approximation of Fourier series, Acta Math. Hung. 115 (3), 207, 215-233.
- [7] B.L. Levitan, Almost periodic functions, Gos. Izdat. Tekh-Teoret. Liter. (Moscov, 1953) in Russian.
- [8] P. Pych-Taberska, Approximation properties of the partial sums of Fourier series of almost periodic functions, Studia Math. XCVI (1990), 91-103.
- [9] S. Tikhonov, Trigonometric series with general monotone coefficients, J. Math. Anal. Appl. 326 (1) (2007), 721-735. doi: 10.1016/j.jmaa.2006.02.053
- [10] S. Tikhonov, On uniform convergence of trigonometric series, Mat. Zametki 81 (2) (2007) 304-310, translation in Math. Notes 81 (2) (2007), 268-274. doi: doi:10.1134/S0001434607010294
- [11] S. Tikhonov, Best approximation and moduli of smoothness: Computation and equivalence theorems, J. Approx. Theory 153 (2008), 19-39. doi: 10.1016/j.jat.2007.05.006
- [12] A. Zygmund, Trigonometric Series (Cambridge, 2002.e, 2002).
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1178