On the New Double Binomial Sequence Space

References (1)

1. Altay, B., Bas¸ar, F., Some new spaces of double sequences, J. Math. Anal. Appl., 309(1)(2005), 70-90. 1 [2] Basar, F., Summability Theory and Its Applications, Bentham Science Publishers, e-book, Monographs, Istanbul, 2012. 1 [3] Bas¸ar, F., Sever, Y., The space Lq of double sequences, Math. J. Okayama Univ., 51(2009), 149-157. 1, 2, 2 [4] Bis¸gin, M.C., The binomial sequence spaces which include the spaces `p and `∞ and geometric properties, Journal of Inequalities and Applications (2016):304. 1 [5] Boss, J., Classical and Modern Methods in Summability, Oxford University Press, Newyork, 2000. 2, 2.5, 2.8 [6] C¸ apan, H., Bas.ar, F., Some paranormed difference spaces of double sequences, Indian L. Math., 58(3)(2016),405-427. 1 [7] Demiriz, S., Duyar, O., Domain of the Ces `aro mean matrix in some paranormed spaces of double sequences, Contemp. Anal. Appl. Math., 3(2)(2015), 247-262. 1 [8] Demiriz, S., Erdem, S., Domain of Euler-Totient Matrix Operator in the Space Lp, Korean J. Math., 28(2)(2020), 361-378. 1 [9] Hamilton, H. J., Transformations of multiple sequences, Duke Math. J., 2(1936), 29-60. 2.1, 2.2 [10] Moricz, F., ` Extensions of the spaces c and c0 from single to double sequences, Acta Math. Hungar., 57(1991), 129-136. 1 [11] Mursaleen, M., Almost strongly regular matrices and a core theorem for double sequences, J. Math. Anal. Appl., 293(2)(2004), 523-531. 1 [12] Robison, G. M., Divergent double sequences and series, Amer. Math. Soc. Trans., 28(1926), 50-73. 2.1, 2.2 [13] Schaefer, H.H., Topological Vector Spaces, Graduate Texts in Matematics, Volume 3, 5th printing, 1986. 2.6 [14] Talebi, G., Operator norms of four-dimensional Hausdorff matrices on the double Euler sequence spaces, Linear and Multilinear Algebra, 65(11)(2017), 2257-2267. 1 [15] Tug, O., Bas¸ar, F., ˜ Four-Dimensional Generalized Difference Matrix and Some Double Sequence Spaces, AIP Conference Proceedings, AIP Publishing LLC, 1759(1)(2016), p.020075. 1 [16] Tug, O., ˜ Four-dimensional generalized difference matrix and some double sequence spaces, J. Inequal. Appl. (1)(2017), 149. 1 [17] Tug, O., Rako ˜ cevi ˇ c, V., Malkowsky, E., ´ On the Domain of the Four-Dimensional Sequential Band Matrix in Some Double Sequence Spaces, Mathematics 789(8)(2020), doi:10.3390/math8050789. 1 [18] Yes¸ilkayagil, M., Bas¸ar, F., Domain of Riesz mean in the space Ls, Filomat, 31(4)(2017), 925-940. 1, 2, 3.1 [19] Yes¸ilkayagil, M., Bas¸ar, F., Domain of Riesz mean in some spaces of double se