On the K_{a}-continuity of real functions

The aim of the present paper is to define K_{a}-continuity which is associated to the number sequence a=(a_{n}) and to give some new results.

___

  • Aczel, J., Vorlesungen über Funktionalgleichungen und ihre Anwendungen, VEB Deutsch. Verlag der Wissenschaften, Berlin, 1961.
  • Antoni, J., On the A-continuity of real functions II, Math. Slovaca 36 (1986), 283-288.
  • Antoni, J., Salat, T., On the A-continuity of real functions, Acta Math. Univ. Comenian. 39 (1980), 159-164.
  • Borsik, J., Salat, T., On F-continuity of real functions, Tatra Mountains Math. Publ., 2 (1993), 37-42.
  • Boos, J., Classical and modern in summability, Oxford Science Publications, 2000.
  • Hardy, G. H., Divergent series, Oxford Univ. Press, London, 1949.
  • Lazic, M., Jovovic, V., Cauchy's operators and convergence methods, Univ. Beograd. Publ. Elektrothen Fak. 4 (1993), 81-87.
  • Lorentz, G. G., A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190.
  • Robbins, H., Problem 4216, Amer. Math. Monthly, 53 (1946), 470-471.
  • Problem 4216 (1946, 470) Amer. Math. Monthly, Propesed H. Robins. Solution by R. c. Buck, Amer. Math. Monthly 55 (1948) 36.
  • Öztürk, E., On almost continuity and almost A-continuity of real functions, Comm. Fac. Sci. Univ. Ankara, Ser. A, 32 (1983), 25-30.
  • Posner, E. C., Summability preserving functions, Proc. Amer. Math. Soc., 12 (1961), 73-76.
  • Savaş, E., Das, G., On the A-continuity of real functions, istanbul Üniv. Fen. Fak. Mat. Der., 53 (1994), 61-66.