Abstract
In this paper, we introduce the idea of constructing sequence space Musielak and also construct some general topological properties of approximation of of best approximation in metric defined by
Keywords
Analytic sequence modulus function double sequences space Musielak - modulus function metric space best approximation orthogonality
References
- B.Altay and F.Başar, Some new spaces of double sequences, F.Başar and Y.Sever, The space M.Basarir and O.Solancan, On some double sequence spaces, J.Indian Acad. Math., 21(2) (1999), 193-200.
- T.J.I’ A.Bromwich, An introduction to the theory of infinite series Macmillan and Co.Ltd., New York,(1965).
- J.Cannor, On strong matrix summability with respect to amodul us and statistical convergence, Canad. Math. Bull., 32(2), (1989),194-198
- A.Gökhan and R.Çolak, The double sequence spaces ( ) and A.Gökhan and R.Çolak, Double sequence spaces G.H.Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc.,19(1917),8695.
- H.J.Hamilton, Transformations of multiple sequences, DukeMath.J.,2,(1936),29-60.
- J.Math. Anal. Appl., 309(1), (2005), 70-90. of double sequences ,Math. J. Okayama Univ, 51, (2009), 149157.
- ( ) , Appl. Math.Comput., 157(2),(2004),491-501. , 160(1),(2005),147-153. ------, A Generalization of multiple sequences transformation, DukeMath.J.,4,(1938),343358. ------, Preservation of partial Limits in Multiple sequence transformations, DukeMath.J., 4,(1939),293-297
- P.K.Kamthan and M.Gupta, Sequence spaces and series, Lecture notes,Pure and Applied Mathematics, 65 Marcel Dekker,Inc.,NewYork,1981.
- F.Moricz and B.E.Rhoades, Almost convergence of double sequences and strong regularity of summability matrices, Math.Proc.Camb.Phil.Soc.,104,(1988),283-294.
- A.Wilansky, Summability through Functiona lAnalysis, North-Holland Mathematical Studies, North-Holland Publishing, Amsterdam,Vol.85(1984).
- M.Zeltser, Investigation of Double Sequence Spaces by Softand Hard Analitical Methods, Dissertationes Mathematicae Universitatis Tartuensis 25, Tartu University Press, Univ.ofTartu, Faculty of Mathematics and Computer Science,Tartu,2001
Abstract
References
- B.Altay and F.Başar, Some new spaces of double sequences, F.Başar and Y.Sever, The space M.Basarir and O.Solancan, On some double sequence spaces, J.Indian Acad. Math., 21(2) (1999), 193-200.
- T.J.I’ A.Bromwich, An introduction to the theory of infinite series Macmillan and Co.Ltd., New York,(1965).
- J.Cannor, On strong matrix summability with respect to amodul us and statistical convergence, Canad. Math. Bull., 32(2), (1989),194-198
- A.Gökhan and R.Çolak, The double sequence spaces ( ) and A.Gökhan and R.Çolak, Double sequence spaces G.H.Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc.,19(1917),8695.
- H.J.Hamilton, Transformations of multiple sequences, DukeMath.J.,2,(1936),29-60.
- J.Math. Anal. Appl., 309(1), (2005), 70-90. of double sequences ,Math. J. Okayama Univ, 51, (2009), 149157.
- ( ) , Appl. Math.Comput., 157(2),(2004),491-501. , 160(1),(2005),147-153. ------, A Generalization of multiple sequences transformation, DukeMath.J.,4,(1938),343358. ------, Preservation of partial Limits in Multiple sequence transformations, DukeMath.J., 4,(1939),293-297
- P.K.Kamthan and M.Gupta, Sequence spaces and series, Lecture notes,Pure and Applied Mathematics, 65 Marcel Dekker,Inc.,NewYork,1981.
- F.Moricz and B.E.Rhoades, Almost convergence of double sequences and strong regularity of summability matrices, Math.Proc.Camb.Phil.Soc.,104,(1988),283-294.
- A.Wilansky, Summability through Functiona lAnalysis, North-Holland Mathematical Studies, North-Holland Publishing, Amsterdam,Vol.85(1984).
- M.Zeltser, Investigation of Double Sequence Spaces by Softand Hard Analitical Methods, Dissertationes Mathematicae Universitatis Tartuensis 25, Tartu University Press, Univ.ofTartu, Faculty of Mathematics and Computer Science,Tartu,2001
Details
| Journal Section | Articles |
|---|---|
| Authors | |
| Publication Date | April 1, 2014 |
| Published in Issue | Year 2014 Volume: 2 Issue: 1 |