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Vol 43 Iss. 3
Pages:
43-47
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RUS
Article

About one question of analysis

Authors:
I. Konstantinesku
Date submitted:
1963-09-23
Date accepted:
1963-11-01
Date published:
1964-02-14

Abstract

К. Begl formulates the definitions of continuity and derivative in the direction in the space Rn in such a way that they respectively have a unified general form for all n and coincide at n=1 with the corresponding definitions for functions of one variable. In addition to the concept of continuity, the concepts of derivative, integral, convergence, semi-continuous, limit, expressed in a unified and general form, are introduced successively.

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References

  1. Bogel К. J. reine und angaw. Math., 1934. v. 170, p. 197; 1935, v. 173, p. 5.
  2. Nicolescu M. Bull. Math. Bucaresf, 1941.
  3. Dobrescu E. Studii si cercetari mat. Acad. RPR, 1957, N 1—2.
  4. Salagean I. Comun. Acad. RPR, 1960. N 11.
  5. Dobrescu E. Comun. Acad. RPR, 1960, N 10.
  6. Blumberg H. Trans. Amer. Math. Soc. 1919, v. 20, N 1.
  7. Valiгоn G. Proc. Phys. Soc. Iapan, 1931, N 19.
  8. Montel P. J. Math, pures et appl., 1928, v. VII.
  9. Mоntel P. Praktika de l’Acad. d’Athenes. 1931, N 6.
  10. Nicolescu M. Analiza matematica, 1959, N 11.
  11. Dobrescu E., Salagean I. Comun. Acad. RPR, 1959, t. IX, N 3,5. 

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