Pointwise convergence of Fourier-Laguerre series of integrable functions

• Autorzy: Łenski W. , Szal B.

Identyfikatory

DOI

10.1515/fascmath-2018-0006

• Języki publikacji: EN

Abstrakty

EN

We extend and improve the some results of Xh. Z. Krasniqi [Int. J. of Anal. and Appl. Vol. 1, 33-39 (2013)], M. L. Mittal and M. V. Singh [Operators, Int. J. of Analysis, Vol. 2015, Article ID 478345, 4 pages] and from many other papers on summability of Fourier-Laguerre series to strong summability proving the estimate of the deviation of the partial sums from considered functions. There also is a remark on summability methods used in cited papers.

Słowa kluczowe

EN

rate of approximation; summability of Fourier -Laguerre series

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 60
• Strony: 93--101
• Opis fizyczny: Bibliog. 7 poz.

Twórcy

autor

Łenski W.

• University of Zielona Góra Faculty of Mathematics Computer Science and Econometrics 65-516 Zielona Góra, ul. Szafrana 4a, Poland

autor

Szal B.

• University of Zielona Góra Faculty of Mathematics Computer Science and Econometrics 65-516 Zielona Góra, ul. Szafrana 4a, Poland

Bibliografia

• [1] Khtari K., Mishra V.N., Approximation of functions belonging to L[0, ∞) by product summability means of its Fourier-Laguerre series, Cogent Mathematics, (3)1250854, (2016).
• [2] Krasniqi Xh.Z., On the degree of approximation of a function by (C, 1) (E, q) means of its Fourier-Laguerre series, Int. J. of Anal. and Appl., 1(2013), 33-39.
• [3] Mittal M.L., Singh M.V., Error Estimation of Functions by Fourier-Laguerre Polynomials Using Matrix-Euler Operators, Int. J. of Analysis, Vol. 2015, Article ID 478345, 4 pages.
• [4] Nigam H.K., Sharma A., A study on degree of approximation by (E, 1) summability means of the Fourier-Laguerre expansion, International Journal of Mathematics and Mathematical Sciences, Volume 2010, Article ID 351016, 7 pages.
• [5] Sonker S., Approximation of functions by (C 1.T) means of its Fourier-Laguerre series, Recent Advances in Computational Mathematics, http:// www.wseas.us/elibrary/conferences/2014/Geneva/ICACM/ICACM-19.pdf.
• [6] Szegö G., Orthogonal polynomials, Am. Math.Soc. Colloquium Publ., 23(1939).
• [7] Zygmund A., Trigonometric series, Cambride, 1959.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).