The New Generalized Difference of χ2 over p- metric spaces defined by Musielak Orlicz function

  • Lakshmi Narayan Mishra Department of Mathematics, National Institute of Technology, Silchar, Assam 788 010, India
  • Deepmala . SQC and OR Unit, Indian Statistical Institute,203 B. T. Road, Kolkata 700 108, West Bengal, India
  • N. Subramanian Department of Mathematics, SASTRA University, Thanjavur-613 401, India
Keywords: analytic sequence, double sequences, I 2 space, difference sequence space, Musielak - Orlicz function, parametric space, Lacunary sequence, ideal.

Abstract

We introduce newsequence spaces by using Musielak-Orlicz function and a generalized Bµ η -difference operator on p−metric space. Some topological properties are studied.

Downloads

Download data is not yet available.

References

Bromwich,T.J.I'A.1965. An introduction to the theory of innite series Macmillan and Co.Ltd. ,New York.

Hardy,G.H.1917. On the convergence of certain multiple series, Proceedings of the Cambridge Philosophical Society, 19, 86-95.

Moricz,F.1991. Extentions of the spaces c and c0 from single to double sequences, Acta Mathematica Hungarica , 57(1-2), 129-136.

Moricz,F. and Rhoades,B.E.1988. Almost convergence of double sequences and strong regularity of summability matrices, Mathematical Proceedings of the Cambridge Philosophical Society, 104, 283-294.

Basar,F. and Sever,Y.2009. The space Lp of double sequences, Mathematical Journal of Okayama University, 51, 149-157.

Tripathy,B.C. and Sarma,B.2009. Vector valued double sequence spaces dened by Orlicz function, Mathematica Slovaca, 59(6) , 767-776.

Tripathy,B.C. and Dutta,A.J.2010. Bounded variation double sequence space of fuzzy real numbers, Computers and Mathematics with Applications, 59(2), 1031-1037.

Tripathy,B.C. and Sarma,B.2011. Double sequence spaces of fuzzy numbers dened by Orlicz function, Acta Mathematica Scientia, 31 B(1)(2011), 134-140.

Tripathy,B.C. and Chandra,P.2011. On some generalized dierence paranormed sequence spaces associated with multiplier sequences dened by modulus function, Analysis in Theory and Applications, 27(1) , 21-27.

Tripathy,B.C. and Dutta,A.J.2013. Lacunary bounded variation sequence of fuzzy real numbers, Journal in Intelligent and Fuzzy Systems, 24(1), 185-189.

Turkmenoglu,A.1999. Matrix transformation between some classes of double sequences, Journal of Institute of Mathematics and Computer Science Mathematics Series., 12(1), 23-31.

Raj,K.and Sharma,S.K.2011. Some sequence spaces in 2-normed spaces dened by Musielak Orlicz function, Acta Universitatis Sapientiae Mathematica, Vol. 3, no.1, pp. 97-109.

Raj,K.Sharma,A.K. and Sharma,S.K.2012. Sequence spaces dened by Musielak-Orlicz function in 2-normed spaces, Journal of Computational Analysis and Applications, Vol. 14.

Raj,K.and Sharma,S.K.2013. Lacunary sequence spaces dened by Musielak-Orlicz function, Le Matematiche, 68 , 33-51.

Kamthan,P.K. and Gupta,M.1981. Sequence spaces and series, Lecture notes, Pure and Applied Mathematics, 65 Marcel Dekker, In c., New York.

Lindenstrauss,J. and Tzafriri,L.1971. On Orlicz sequence spaces, Israel Journal of Mathematics,10, 379-390.

Wilansky,A.1984. Summability through Functional Analysis, North-Holland Mathematical Studies, North-Holland Publishing, Amsterdam, Vol.85.

Mishra, V.N. 2007. Some problems on Approximations of functions in Banach spaces, Ph.D, thesis , Indian Institute of Technology Roorkee, 247 667, Uttarakhand, India .

Mishra, V.N. Subramanian, N. and Khan, Idrees A. 2016. Riesz Triple Almost minkj Lacunary 3 Rminkj sequence spaces dened by a Orlicz function-III, International Journal of Mathematics and Math-

ematical Sciences , in press.

Deepmala Subramanian, N. and Mishra, V.N. 2016. The Generalized dierence of R 2I of fuzzy real numbers over p􀀀 metric spaces dened by Musielak-Orlicz function, New Trends in Mathematical Sciences, in press.

Deepmala Subramanian, N. and Mishra, V.N. 2016. Double Almost (mn) in 2-Riesz Space, Southeast Asian Bulletin of Mathematics , in press.

Published
2016-08-08
How to Cite
Mishra, L., ., D., & Subramanian, N. (2016). The New Generalized Difference of χ2 over p- metric spaces defined by Musielak Orlicz function. Journal of Progressive Research in Mathematics, 9(1), 1301-1311. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/787
Section
Articles