Some New Difference Sequence Spaces

Yıl 2024, , 21 - 23, 29.06.2024

Ayhan Esi

https://doi.org/10.46572/naturengs.1472008

Öz

Our main aim of paper is to introduce some new difference sequence spaces and
some of basic inclusion properties will be taken care of.

Anahtar Kelimeler

difference sequence, paranormed space, riesz space

Kaynakça

• Nakano, H., (1953). Concave modulars, J. Math. Soc. Japan 5, 29–49.
• Kizmaz, H., (1981).On certain sequence spaces, Canadian Mathematical Bulletin, 24(2), 169-173.
• Tripathy, B.C. and Esi, A.,(2006). A new type of difference sequence spaces, International Journal of Science & Technology Volume 1, No 1, 11-14.
• Et, M., and Çolak, R., On some generalized difference sequence spaces, Soochow J. of Math. 21 (1995), 377.386.
• Baliarsingh, P. (2022). On the spectrum of fractional difference operator. Linear and Multilinear Algebra, 70(21), 6568-6580.
• Yaying, T., Hazarika, B., Baliarsingh, P., & Mursaleen, M. (2024). Cesàro q-Difference Sequence Spaces and Spectrum of Weighted q-Difference Operator. Bulletin of the Iranian Mathematical Society, 50(2), 23.
• Boruah, K., & Hazarika, B. (2017). On some generalized geometric difference sequence spaces. Proyecciones (Antofagasta), 36(3), 373-395.
• Petersen, G.M., (1966). Regular matrix transformations, Mc Graw-Hill, London .
• Toeplitz, O., (1911). Über allegemenine lineare mittelbildungen, Prace Matematyczno-Fizyczne 22.1 : 113-119.
• I. J. Maddox, (1987). Inclusion between FK spaces and Kuttner’s theorem, Math. Proc. Camb. Philos. Soc. 101, 523–527.