On the K_{a}-continuity of real functions

Sevda Yıldız; Kamil Demirci; Fadime Dirik

doi:10.31801/cfsuasmas.569892

Research Article

On the K_{a}-continuity of real functions

Year 2020, Volume: 69 Issue: 1, 540 - 546, 30.06.2020

Sevda Yıldız Kamil Demirci Fadime Dirik

https://doi.org/10.31801/cfsuasmas.569892

Abstract

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.

Keywords

K_a-continuity, F-continuity, A-continuity

References

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.

Year 2020, Volume: 69 Issue: 1, 540 - 546, 30.06.2020

Sevda Yıldız Kamil Demirci Fadime Dirik

https://doi.org/10.31801/cfsuasmas.569892

Abstract

References

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.

There are 13 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Articles
Authors	Sevda Yıldız 0000-0002-4730-2271 Kamil Demirci 0000-0002-5976-9768 Fadime Dirik 0000-0002-9316-9037
Publication Date	June 30, 2020
Submission Date	May 24, 2019
Acceptance Date	December 8, 2019
Published in Issue	Year 2020 Volume: 69 Issue: 1

Cite

APA	Yıldız, S., Demirci, K., & Dirik, F. (2020). On the K_{a}-continuity of real functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 540-546. https://doi.org/10.31801/cfsuasmas.569892
AMA	Yıldız S, Demirci K, Dirik F. On the K_{a}-continuity of real functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. June 2020;69(1):540-546. doi:10.31801/cfsuasmas.569892
Chicago	Yıldız, Sevda, Kamil Demirci, and Fadime Dirik. “On the K_{a}-Continuity of Real Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69, no. 1 (June 2020): 540-46. https://doi.org/10.31801/cfsuasmas.569892.
EndNote	Yıldız S, Demirci K, Dirik F (June 1, 2020) On the K_{a}-continuity of real functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 540–546.
IEEE	S. Yıldız, K. Demirci, and F. Dirik, “On the K_{a}-continuity of real functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 540–546, 2020, doi: 10.31801/cfsuasmas.569892.
ISNAD	Yıldız, Sevda et al. “On the K_{a}-Continuity of Real Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 2020), 540-546. https://doi.org/10.31801/cfsuasmas.569892.
JAMA	Yıldız S, Demirci K, Dirik F. On the K_{a}-continuity of real functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:540–546.
MLA	Yıldız, Sevda et al. “On the K_{a}-Continuity of Real Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, 2020, pp. 540-6, doi:10.31801/cfsuasmas.569892.
Vancouver	Yıldız S, Demirci K, Dirik F. On the K_{a}-continuity of real functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):540-6.