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Generalized Discontinuity of Real-Valued Functions Cover

Generalized Discontinuity of Real-Valued Functions

Tatra Mountains Mathematical Publications
Volume 55 (2013): Issue 1 (August 2013)
By:   
Open Access
|Aug 2013
References

References

  1. [1] CIESIELSKI, K. LARSON, L. OSTASZEWSKI, K.: 1-density continuous functions, Mem. Airier. Math. Soc. 107 (1994), p. 133.
    Search in Google Scholar
  2. [2] ENE, V.: Real Functions Current Topics, in: Lecture Notes in Math., Vol. 1603, Springer- Verlag, Berlin, 1995.
    Search in Google Scholar
  3. [3] FILIPCZAK, T.: Intersection conditions for some density and 1-density local systems, Real Anal. Exchange 15 (1990), 170 192.
    Open DOISearch in Google Scholar
  4. [4] GR ANDE, M.: On the sums of unilaterally approximately continuous and approximately jump functions, Real Anal. Exchange 28 (2003), 62.3 6.30.
    Search in Google Scholar
  5. [5] GRÄTZER, G.: General Lattice Theory. Birkhäuser Verlag, Basel-Stuttgart, 1978.
    Open DOISearch in Google Scholar
  6. [6] HOBSON, E. W.: Tlie Theory of Functions of Real Variable and the Theory of Fourier’s Series. Cambridge University Press, London, 1921.
    Search in Google Scholar
  7. [7] MAZURKIEWICZ, S.: O pewnej mnogości, która ma z każdą prostą dwa, i tylko dwa punkty wspólne, C. R. Varsovia 7 (1914), .382 .384.
    Search in Google Scholar
  8. [8] ŚWIĄT KO W SKI, T.: O pewnym uogólnieniu pojęcia, pochodnej, Zeszyty Nauk. Politech. Lódz. Mat. 149 (1972), 89 101.
    Search in Google Scholar
  9. [9] THOMSON, B.: Derivation bases on the real line 11, Peal Anal. Exchange 8 (198.3), 278 442.
    Open DOISearch in Google Scholar
  10. [10] THOMSON, B.: Real Functions, in: Lecture Notes in Math., Vol. 1170, Springer-Verlag, 1980.
    Search in Google Scholar
  11. [11] WILCZYŃSKI, W.: A category analogue of the density topology, approximate continuity and, the approximete derivative, Peal Anal. Exchange 10 (1984 85), 241 265.
    Open DOISearch in Google Scholar
  12. [12] WILCZYŃSKI, W.: Density topologies, in: Handbook of Measure Theory, Vol. I and II, North-Holland, Amsterdam, 2002, pp. 675 702.
    Open DOISearch in Google Scholar
  13. [13] ZAJICEK, L.: Porosity, J-density topology and, abstract density topologies, Real Anal. Exchange 12 (1987), 313 .326.
    Search in Google Scholar
  14. [14] ZDUŃCZYK, P.: Unilateral I-approximate limits of real functions, Real Anal. Exchange 34 (2008), 105 114.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/tmmp-2013-0014 | Journal eISSN: 1338-9750 (formerly 1210-3195) | Journal ISSN: 1210-3195
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Language: English
Page range: 1 - 16
Published on: Aug 13, 2013
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
local system,
filtering system,
generalized limits,
density point -density point,
lower density
Related subjects:
Mathematics,
General mathematics

© 2013 Rafał Zduńczyk, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 55 (2013): Issue 1 (August 2013)
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