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References
- bibitem{aizpuru} Aizpuru, A., Listan-Garcia M.C. and Rambla-Barreno, F., "Density by moduli and statistical convergence", {em Quaestiones Mathematicae.}, textbf{ 37 4} (2014) 525 - 530.
- bibitem{bhardwaj} Bhardwaj V.K. and Dhawan, S., "$f$-statistical convergence of order $/alpha$ and strong Cesaro summability of order with respect to a modulus", {em J. Ineq. Appl.}, textbf{ 2015 332} (2015) 14 pages.
- bibitem{bdg} Bhardwaj, V.K., Dhawan, S. and Gupta, S., "Density by moduli and statistical boundedness", {em Abst. Appl. Analysis}, textbf{ 2016} Article ID 2143018, 6 pages, 2016.
- bibitem{b} Bhardwaj, V.K. and Dhawan, S., "Density by moduli and lacunary statistical convergence", {em Abst. Appl. Analysis}, textbf{ 2016} (2016) Article ID 9365037, 11 pages. http://dx.doi.org/10.1155/2016/9365037
- bibitem{tunay} Bilgin, T., "$(sigma,f)$-Asymptotically lacunary equivalent sequences", {em International J. Analysis}, textbf{ 2014} (2014) Article ID 945902, 8 pages. http://dx.doi.org/10.1155/2014/945902
- bibitem{fast} Fast, H., "Sur la convergence statistique", {em Colloq. Math.}, textbf{ 2 3-4} (1951) 241--244.
- bibitem{maddox} Maddox, I.J., "Sequence spaces defined by a modulus", {em Math. Proc. Camb. Philos. Soc.}, textbf{ 101} (1987) 523 - 527.
- bibitem{marouf} Marouf, M., "Asymptotic equivalence and summability", {em Internat. J. Math. Math. Sci.}, textbf{ 16 4} (1993) 755 - 762.
- bibitem{nakano} Nakano, H., "Concave modulars", {em J. Math. Soc. Japan}, textbf{ 5} (1953) 29–-49.
- bibitem{niven} Niven, I., Zuckerman, H.S. and Montgomery, H.L., {it An introduction to the theory of numbers}, Fifth Ed., John Wiley and Sons, New York, 1991.
- bibitem{rfp} Patterson, R.F., "On asymptotically statistically equivalent sequences", {em Demonstratio Math.}, textbf{ 36 1} (2003) 149 - 153.
- bibitem{patsav} Patterson R.F. and Savac{s}, E., "On asymptotically lacunary statistically equivalent sequences", {em Thai J. Math.}, textbf{ 4} (2006) 267 - 272.
- bibitem{ruckle} Ruckle, W.H., "FK spaces in which the sequence of coordinate vectors is bounded", {em Can. J. Math.}, textbf{ 25} (1973) 973 - 978.
- bibitem{schoenberg} Schoenberg, I.J., "The integrability of certain functions and related summability methods", {em Amer. Math. Monthly.}, textbf{ 66 5} (1959) 361 - 375.
- bibitem{seneta} Seneta, E., {it Regularly varying functions}, Lecture Notes in Mathematics {bf 508} Springer-Verlag, Berlin-Heidelberg-New York, 1976.
- bibitem{steinhaus} Steinhaus, H., "Sur la convergence ordinaire et la convergence asymptotique", {em Colloq. Math.}, textbf{ 2 1} (1951) 73 - 74.
References
bibitem{aizpuru} Aizpuru, A., Listan-Garcia M.C. and Rambla-Barreno, F., "Density by moduli and statistical convergence", {em Quaestiones Mathematicae.}, textbf{ 37 4} (2014) 525 - 530.
bibitem{bhardwaj} Bhardwaj V.K. and Dhawan, S., "$f$-statistical convergence of order $/alpha$ and strong Cesaro summability of order with respect to a modulus", {em J. Ineq. Appl.}, textbf{ 2015 332} (2015) 14 pages.
bibitem{bdg} Bhardwaj, V.K., Dhawan, S. and Gupta, S., "Density by moduli and statistical boundedness", {em Abst. Appl. Analysis}, textbf{ 2016} Article ID 2143018, 6 pages, 2016.
bibitem{b} Bhardwaj, V.K. and Dhawan, S., "Density by moduli and lacunary statistical convergence", {em Abst. Appl. Analysis}, textbf{ 2016} (2016) Article ID 9365037, 11 pages. http://dx.doi.org/10.1155/2016/9365037
bibitem{tunay} Bilgin, T., "$(sigma,f)$-Asymptotically lacunary equivalent sequences", {em International J. Analysis}, textbf{ 2014} (2014) Article ID 945902, 8 pages. http://dx.doi.org/10.1155/2014/945902
bibitem{fast} Fast, H., "Sur la convergence statistique", {em Colloq. Math.}, textbf{ 2 3-4} (1951) 241--244.
bibitem{maddox} Maddox, I.J., "Sequence spaces defined by a modulus", {em Math. Proc. Camb. Philos. Soc.}, textbf{ 101} (1987) 523 - 527.
bibitem{marouf} Marouf, M., "Asymptotic equivalence and summability", {em Internat. J. Math. Math. Sci.}, textbf{ 16 4} (1993) 755 - 762.
bibitem{nakano} Nakano, H., "Concave modulars", {em J. Math. Soc. Japan}, textbf{ 5} (1953) 29–-49.
bibitem{niven} Niven, I., Zuckerman, H.S. and Montgomery, H.L., {it An introduction to the theory of numbers}, Fifth Ed., John Wiley and Sons, New York, 1991.
bibitem{rfp} Patterson, R.F., "On asymptotically statistically equivalent sequences", {em Demonstratio Math.}, textbf{ 36 1} (2003) 149 - 153.
bibitem{patsav} Patterson R.F. and Savac{s}, E., "On asymptotically lacunary statistically equivalent sequences", {em Thai J. Math.}, textbf{ 4} (2006) 267 - 272.
bibitem{ruckle} Ruckle, W.H., "FK spaces in which the sequence of coordinate vectors is bounded", {em Can. J. Math.}, textbf{ 25} (1973) 973 - 978.
bibitem{schoenberg} Schoenberg, I.J., "The integrability of certain functions and related summability methods", {em Amer. Math. Monthly.}, textbf{ 66 5} (1959) 361 - 375.
bibitem{seneta} Seneta, E., {it Regularly varying functions}, Lecture Notes in Mathematics {bf 508} Springer-Verlag, Berlin-Heidelberg-New York, 1976.
bibitem{steinhaus} Steinhaus, H., "Sur la convergence ordinaire et la convergence asymptotique", {em Colloq. Math.}, textbf{ 2 1} (1951) 73 - 74.