Applied Mathematics

Applied Mathematics is an open access, peer-reviewed scientific journal that publishes original articles, critical reviews, research notes, debate and short reports in all areas of applied mathematics.

Wlodzimiez Lenski

Editorial Board Member of Applied Mathematics

Professor, University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics, Poland

Research Areas

Fourier series, Summability of series, Approximation by Fourier series

Experience

presentProfessor, University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  W. Łenski, Generalization of two Leindler theorems, Functiones et Approximatio Commentarii Mathematici III (1976), 149-155.
[2]  W. Łenski, Strong approximation of double Fourier series, Functiones et Approximatio Commentarii Mathematici IV (1976), 71-83.
[3]  W. Łenski, Strong approximation of functions belonging to the space Lq, Functiones et Approximatio Commentarii Mathematici VI (1978), 153-166.
[4]  W. Łenski, On the norm-strong approximation of 2pi periodic functions, Demonstratio Mathematica XI 2(1978), 285-299.
[5]  W. Łenski, Strong approximation of functions by the triangular partial sums of double Fourier series, Demonstratio Mathematica XII 2(1979), 445-456.
[6]  W. Łenski, On the degree ofstrong approximation of integrable functions, Functiones et Approximatio Commentarii Mathematici XII (1982), 35-44.
[7]  W. Łenski, On the degree of strong approximation of functions belonging to the space Lp (1
[8]  W. Łenski, O silnoj sumirujemosti riadow Furie, Proc.of the Conference of Approximation of Functions, Kijev (1983), 271-273.
[9]  W. Łenski, On the almost strong summability and convergence of Fourier series, Proc. of the Conference on Constructive Theory of Functions, Golden Sands (Varna) (1984), 524-527.
[10]  W. Łenski, On the strong logarithmic summabilities of Fourier series, Math. Nachr. 120 (1985), 53-61.
[11]  W. Łenski, On the strong approximation by the logarithmic means of Fourier series, Acta Sci. Math. (Szeged) 48 (1985), 285-295.
[12]  R. Gajewski, W. Łenski, On the approximation by generalized de la Vallee Pousin means of Fourier series in the space WH, Mathematische Nachrichten 120 (1985), 632-671.
[13]  W. Łenski, On the almost strong summability and convergence of Fourier series, Functiones et Approximatio Commentarii Mathematici XVI (1988), 125-134.
[14]  W. Łenski, On the degree of strong approximation by some trigonometric polynomials, Functiones et Approximatio Commentarii Mathematici XVI (1988), 135-147.
[15]  W. Łenski, R. Taberski, On the rate of pointwise (H,q) summability of Fourier series, Functiones et Approximatio Commentarii Mathematici XVIII (1989), 153-168.
[16]  W. Łenski, On the strong approximation by (C,a) means of Fourier series, Mathematische Nachrichten 146 (1990), 207-220.
[17]  W. Łenski, On the rate of (C,a)-summability of Fourier series, Coll. Math. Soc. J. Bolyai, Approximation Theory, Kecskemet (Hungary) 58 (1990), 453-468.
[18]  W. Łenski, On the Zygmund strong summation theorem, Functiones et Approximatio Commentarii Mathematici XIX (1990), 131-138.
[19]  W. Łenski, Aproksymacja w mocnym sensie, Materiały z II Środowiskowej Konferencji Matematyków, Szczecin 1990 (1990), 27-37.
[20]  W. Łenski, On the degree of almost strong convergence of Fourier series, Comment. Math. Prace Mat. XXX 1(1991), 383-392.
[21]  W. Łenski, On the degrees of almost strong summability of Fourier series, Comment. Math. Prace Mat. XXX 1(1991), 93-100.
[22]  W. Łenski, M. Topolewska, On the rate of strong summability of Fourier-Chebyshev series, Zeszyty Naukowe WSP-Bydgoszcz 14 (1995), 27-36.
[23]  W. Łenski, On the generalization of strong summability of double Fourier series, Acta Sci. Math. (Szeged) 60 (1995), 515-526.
[24]  W. Łenski, A. Patkowski, Rachunek prawdopodobieostwa dla leniwych, PWN Warszawa-Poznao (1996).
[25]  W. Łenski, M. Topolewska, On the speed of strong summability of double Fourier series, Functiones et Approximatio Commentarii Mathematici XXV (1997), 77-99.
[26]  W. Łenski, M. Topolewska, On the rate of strong summability of double Fourier series, Mathematica Bohemica 123 4(1998), 337-363.
[27]  W. Łenski, M. Topolewska, On the speed of strong summability of double Fourier series by special means, Functiones et Approximatio Commentarii Mathematici XXVII (1999), 39-50.
[28]  W. Łenski, On the rate of pointwise summability of Fourier series, Applied Mathematics E-Notes 1 (2001), 143-148.
[29]  W. Łenski, B. Roszak, On the rate of pointwise strong summability of Fourier series, Demonstratio Mathematica XXXVII 3(2004), 601-610.
[30]  W. Łenski, Pointwise very strong approximation as a generalization of Fejer's summation theorem, Annales Mathematicae et Informaticae 32 (2005), 79-86.
[31]  W. Łenski, Remark on the inequality of F. Riesz, Orlicz centenary volume. II, 95--97, Banach Center Publ., 68, Polish Acad. Sci., Warsaw, 2005.
[32]  R. Kranz, W. Łenski, On the pointwise strong approximation by orthogonal expansions., Rend. Circ. Mat. Palermo (2) Suppl. No. 76 (2005), 445--458.
[33]  W. Łenski, Pointwise strong and very strong approximation of Fourier series, Acta Math. Hungarica 115 (3), (2007), 215-233.
[34]  R. Kranz, W. Łenski, On the rate of pointwise strong summability of orthogonal expansions, Rendiconti del Circolo Matematico di Palermo. serie II, T. LVI,(2007), 273-286.
[35]  W. Łenski, On the degree of strong approximation of integrable functions, Journal of Inequalities in Pure and Applied Mathematics, 8,(2007),(3), articl 70, 1-12.
[36]  W. Łenski, B. Szal, On the approximation of functions by matrix means in the generalized Holder metric, Banach Center Publications 79 (2008), 119-129.
[37]  W. Łenski, B. Roszak, On the pointwise approximation by (C,1)(E,1) means, Banach Center Publications 79 (2008), 113-117.
[38]  W. Łenski, Pointwise approximation by de la Vallée-Poussin means, East Journal on Approximation. 14 2(2008), 131-136.
[39]  W. Łenski, B Szal, Pointwise strong and very strong approximation by matrix means of Fourier series, Comment. Math.(Prace Mat.) 48 (2008). no.2. 177-198.
[40]  W. Łenski, B. Szal, Approximation of functions belonging to the class Lp(w)b by linear operators. Acta et Comm. Univer.Tartuensis de Math., Vol. 13, (2009), 11-24.
[41]  W. Łenski, B. Szal, On the degree of strong approximation of functions and conjugate functions, Demonstratio Mathematica XLIII 1(2010), 117-128.
[42]  W. Łenski, B. Szal, Approximation of integrable functions by general linear operators of their Fourier series at the Lebesgue points, Acta Math. Hungarica, Volume 131, Number 4, (2011), 380-394, DOI: 10.1007/s10474-011-0077-3.
[43]  W. Łenski, B. Szal, Approximation of integrable functions by linear operators of their Fourier series at the Lebesgue type points, Banach Center Publications JM100, przyjeta.
[44]  W. Łenski, B. Szal, Approximation of integrable functions by general linear operators of their Fourier series, Acta Mathematica Sinica, in press.
[45]  W. Łenski, B. Roszak, Pointwise strong and very strong (C,a) approximation of Fourier series, Banach Center Publications. Kraków, in press
[46]  W. Łenski, B. Szal, Approximation of functions from Lp(w)b by linear operators of conjugate Fourier series, Banach Center Publications. Kraków, in press.
[47]  W. Łenski, B. Szal, Pointwise approximation of functions from L^{p}(ω)_{β} by linear operators of their Fourier series, Journal of Function spaces and Applications, przyjeta.
[48]  W. Łenski, Pointwise anolog of the Jackson theorem and its application, Applied Mathematics and Computation, 218 (2011) 1587-1595.
[49]  R. Kranz, W. Łenski, B. Szal, On the degrees 0f approximation of functions belonging to Lp(w) class by matrix means of conjugate Fourier series, Mathematical Inequalities & Applications (MIA), in press.