Authors:
György Gát Institute of Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary

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Gábor Lucskai Institute of Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary
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.

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    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.

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  • [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.

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

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  • [5]

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

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

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    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.

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  • [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, Hungary)
  • János PINTZ (Rényi Institute of Mathematics, Budapest, Hungary)
  • Ferenc SCHIPP (Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary)
  • Sándor SZABÓ (University of Pécs, Pécs, Hungary)
     

Deputy Editors in Chief:

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

Editorial Board

  • Attila BÉRCZES (University of Debrecen, Debrecen, Hungary)
  • István BERKES (Rényi Institute of Mathematics, Budapest, Hungary)
  • Károly BEZDEK (University of Calgary, Calgary, Canada)
  • György DÓSA (University of Pannonia, Veszprém, Hungary)
  • Balázs KIRÁLY – Managing Editor (University of Pécs, Pécs, Hungary)
  • Vedran KRCADINAC (University of Zagreb, Zagreb, Croatia) 
  • Željka MILIN ŠIPUŠ (University of Zagreb, Zagreb, Croatia)
  • Gábor NYUL (University of Debrecen, Debrecen, Hungary)
  • Margit PAP (University of Pécs, Pécs, Hungary)
  • István PINK (University of Debrecen, Debrecen, Hungary)
  • Mihály PITUK (University of Pannonia, Veszprém, Hungary)
  • Jörg THUSWALDNER (Montanuniversität Leoben, Leoben, Austria)
  • Zsolt TUZA (University of Pannonia, Veszprém, Hungary)

Advisory Board

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

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

  • Mathematical Reviews
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  • DOAJ

Publication Model Gold Open Access
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Subscription Information Gold Open Access

Mathematica Pannonica
Language English
Size A4
Year of
Foundation
1990
Volumes
per Year
1
Issues
per Year
2
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)