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  • 1 Institute of Mathematics, , University of Debrecen, H-4002 Debrecen, Pf. 400, , Hungary
  • | 2 Institute of Mathematics and Informatics, , University of Pécs, H-7624 Pécs, Ifjúság u. 6
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The main aim of this paper is to prove that the nonnegativity of the Riesz’s logarithmic kernels with respect to the Walsh– Kaczmarz system fails to hold.

  • [1]

    Schipp, F., Wade, W. R., Simon, P., and Pál, J. Walsh series: an introduction to dyadic harmonic analysis. Adam Hilger, Bristol and New York, 1990.

    • Search Google Scholar
    • Export Citation
  • [2]

    Zygmund, A. Trigonometric Series.. University Press, Cambridge, 1959 (English).

  • [3]

    Gat, G. On (C,1)summability of integrable functions with respect to the Walsh–Kaczmarz system. Studia Math 130, 2 (1998), 135148.

  • [4]

    Gat, G., and Goginava, U. Uniform and L-convergence of logarithmic means of Walsh-Fourier series, Acta Mathematica Sinica 22, 2 (2006), 497506.

    • Search Google Scholar
    • Export Citation
  • [5]

    Hardy, G. H. The summability of a Fourier series by logarithmic means. The Quarterly Journal of Mathematics 1, (1931), 107112.

  • [6]

    Skvorcov, V. A. On Fourier series with respect to the Walsh–Kaczmarz system. Analysis Math. 7 (1981), 141150.

  • [7]

    Skvorcov, V. A. Convergence in L1 of Fourier series with respect to the Walsh–Kaczmarz system. Vestnik Mosk. Univ. Ser. Mat. Meh. 6 (1981), 36.

    • Search Google Scholar
    • Export Citation
  • [8]

    Young, R. M. Euler’s Constant. The Mathematical Gazette 75, 472 (Jun. 1991), 187190.

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Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • István GYŐRI (University of Pannonia, Veszprém)
  • János PINTZ (Rényi Institute of Mathematics)
  • Ferenc SCHIPP (Eötvös University Budapest and University of Pécs)
  • Sándor SZABÓ (University of Pécs)
     

Deputy Editors in Chief:

  • Erhard AICHINGER (JKU Linz)
  • Ferenc HARTUNG (University of Pannonia, Veszprém)
  • Ferenc WEISZ (Eötvös University, Budapest)

Editorial Board

  • György DÓSA (University of Pannonia, Veszprém)
  • István BERKES (Rényi Institute of Mathematics)
  • Károly BEZDEK (University of Calgary)
  • Balázs KIRÁLY – Managing Editor (University of Pécs)
  • Vedran KRCADINAC (University of Zagreb) 
  • Željka MILIN ŠIPUŠ (University of Zagreb)
  • Margit PAP (University of Pécs)
  • Mihály PITUK (University of Pannonia, Veszprém)
  • Jörg THUSWALDNER (Montanuniversität Leoben)
  • Zsolt TUZA (University of Pannonia, Veszprém)

Advisory Board

  • Szilárd RÉVÉSZ (Rényi Institute of Mathematics)  - Chair
  • Gabriella BÖHM (Akadémiai Kiadó, Budapest)
  • György GÁT (University of Debrecen)

University of Pécs,
Faculty of Sciences,
Institute of Mathematics and Informatics
Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
(36) 72-503-600 / 4179
ltoth@gamma.ttk.pte.hu

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Mathematica Pannonica
Language English
Size A4
Year of
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1990
Volumes
per Year
1
Issues
per Year
2
Founder Akadémiai Kiadó
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ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)