%0 Journal Article %T Some new approach of spaces of non-integral order %A Ganie, Abdul Hamid %J Journal of Nonlinear Sciences and Applications %D 2021 %V 14 %N 2 %@ ISSN 2008-1901 %F Ganie2021 %X The aim of this work is to develop the new techniques of sequences by employing the gamma function by introducing the space \(r^{q}( \triangle^{p}_{g},\kappa)\) of non-integral order. The completeness property concerning to this non-integral order space will be developed. Many interesting properties will be illustrated. %9 journal article %R 10.22436/jnsa.014.02.04 %U http://dx.doi.org/10.22436/jnsa.014.02.04 %P 89--96 %0 Journal Article %T On the paranormed Riesz sequence space of nonabsolute type %A B. Altay %A F. Basar %J Southeast Asian Bull. Math. %D 2002 %V 26 %F Altay2002 %0 Journal Article %T Some new sequence spaces which include the spaces $l_{p}$ and $l_{\infty}$ %A C. Aydin %A F. Başar %J Demonstration Math. %D 2005 %V 3 %F Aydin2005 %0 Journal Article %T On a fractional difference operator %A P. Baliarsingh %J Alex. Eng. J. %D 2016 %V 55 %F Baliarsingh2016 %0 Journal Article %T On the space of sequences of $p$-bounded variation and related matrix mappings %A F. Başar %A B. Altay %J Ukrainian Math. J. %D 2003 %V 55 %F Başar2003 %0 Journal Article %T Generalized difference sequence spaces and their dual spaces %A C. Bektaş %A M. Et %A R. Çolak %J J. Math. Anal. Appl. %D 2004 %V 292 %F Bektaş2004 %0 Book %T Functional Analysis with Application %A B. Choudhary %A S. Nanda %D 1989 %I John Wiley & Sons %C New Delhi %F Choudhary1989 %0 Journal Article %T On some generalized difference sequence spaces and related matrix transformations %A R. Çolak %A M. Et %J Hokkaido Math. J. %D 1997 %V 26 %F Çolak1997 %0 Journal Article %T Leonhard Euler’s integral: A historical profile of the gamma function %A P. J. Davis %J The American Math. Monthly %D 1959 %V 66 %F Davis1959 %0 Journal Article %T Euler-Riesz Difference Sequence Spaces %A H. B. Ellidokuzoglu %A S. Demiriz %J Turk. J. Math. Comput. Sci. %D 2017 %V 7 %F Ellidokuzoglu2017 %0 Journal Article %T New type of difference sequence space of Fibonacci numbers %A A. H. Ganie %A A. Akhter %J SciFed Comp. Sci. Appl. %D 2018 %V 1 %F Ganie2018 %0 Journal Article %T New type of Riesz sequence space of non-absolute type %A A. H. Ganie %A A. Mobin %A N. A. Sheikh %A T. Jalal %J J. Appl. Comput. Math. %D 2016 %V 5 %F Ganie2016 %0 Journal Article %T Some new type of difference sequence space of non-absolute type %A A. H. Ganie %A A. Mobin %A N. A. Sheikh %A T. Jalal %A S. A. Gupkari %J Int. J. Modern Math. Sci. %D 2016 %V 14 %F Ganie2016 %0 Journal Article %T Matrix transformation into a new sequence space related to invariant means %A A. H. Ganie %A N. A. Sheikh %J Chamchuri J. Math. %D 2012 %V 4 %F Ganie2012 %0 Journal Article %T On some new sequence space of non-absolute type and matrix transformations %A A. H. Ganie %A N. A. Sheikh %J J. Egypt. Math. Soc. %D 2013 %V 21 %F Ganie2013 %0 Journal Article %T Infinite matrices and almost convergence %A A. H. Ganie %A N. A. Sheikh %J Filomat %D 2015 %V 29 %F Ganie2015 %0 Journal Article %T A new sequence space and matrix transformations %A T. Jalal %A Z. U. Ahmad %J Thai J. Math. %D 2010 %V 2 %F Jalal2010 %0 Journal Article %T A new type of difference sequence spaces %A T. Jalal %A R. Ahmad %J Thai J. Math. %D 2012 %V 10 %F Jalal2012 %0 Journal Article %T Infinite matrices and $\sigma$-convergent sequences %A T. Jalal %A S. A. Gupkari %A A. H. Ganie %J Southeast Asian Bull. Math. %D 2012 %V 36 %F Jalal2012 %0 Journal Article %T On certain Euler difference sequence spaces of fractional order and related dual properties %A U. Kadak %A P. Baliarsingh %J J. Nonlinear Sci. Appl. %D 2015 %V 8 %F Kadak2015 %0 Journal Article %T On certain sequences spaces %A H. Kizmaz %J Canad. Math. Bull. %D 1981 %V 24 %F Kizmaz1981 %0 Journal Article %T Linear Raume mit unendlichvielen koordinaten and Ringe unenlicher Matrizen %A G. Kothe %A O. Toeplitz %J J. Reine Angew. Math. %D 1934 %V 171 %F Kothe1934 %0 Book %T Elements of Functional Analysis %A I. J. Maddox %D 1988 %I The University Press %C Cambridge %F Maddox1988 %0 Journal Article %T Matrix transformations between sequence spaces of generalized weighted means %A E. Malkowsky %A E. Savas %J Applied Math. Comput. %D 2004 %V 147 %F Malkowsky2004 %0 Journal Article %T New type of difference sequenence spaces and matrix transformation %A M. Mursaleen %A A. H. Ganie %A N. A. Sheikh %J Filomat %D 2014 %V 28 %F Mursaleen2014 %0 Journal Article %T Cesaro sequences spaces of non-absolute type %A P.-N. Ng %A P.-Y. Lee %J Comment Math. Prace Math. %D 1978 %V 20 %F Ng1978 %0 Journal Article %T Matrix transformations of some generalized sequence spaces %A E. Savaş %J J. Orissa Math. Soc. %D 1985 %V 4 %F Savaş1985 %0 Journal Article %T Matrix transformations between some new sequence spaces %A E. Savaş %J Tamkang J. Math. %D 1988 %V 19 %F Savaş1988 %0 Journal Article %T A new paranormed sequence space and some matrix transformation %A N. A. Sheikh %A A. H. Ganie %J Acta Math. Acad. Paed. Nyir. %D 2012 %V 28 %F Sheikh2012 %0 Journal Article %T A new type of sequence space of non-absolute type and matrix transformation %A N. A. Sheikh %A A. H. Ganie %J WSEAS Trans. J. Math. %D 2013 %V 8 %F Sheikh2013 %0 Journal Article %T On the space of $\lambda$-convergent sequence and almost convergence %A N. A. Sheikh %A A. H. Ganie %J Thai J. Math. %D 2013 %V 2 %F Sheikh2013 %0 Journal Article %T New type of sequence spaces of non-absolute type and some matrix transformations %A N. A. Sheikh %A T. Jalal %A A. H. Ganie %J Acta Math. Acade. Paedag. Nyireg. %D 2013 %V 29 %F Sheikh2013 %0 Journal Article %T Matrixtransformationen von folgenräumen eine ergebnisübersicht %A M. Stieglitz %A H. Tietz %J Math. Z. %D 1977 %V 154 %F Stieglitz1977 %0 Journal Article %T On a new type of generalized difference Cesaro sequence spaces %A B. C. Tripathy %A A. Esi %A B. Tripathy %J Soochow J. Math. %D 2005 %V 31 %F Tripathy2005 %0 Journal Article %T Characterization of some matrix classes involving paranormed sequence spaces %A B. C. Tripathy %A M. Sen %J Tamkang J. Math. %D 2006 %V 37 %F Tripathy2006