On Cesàro sequence space defined by a modulus function

• Autorzy: Bala I.
• Języki publikacji: EN

Abstrakty

EN

The object of this paper is to introduce the sequence space ces(f, p) using a modulus function f. Various algebraic and topological properties of this space, and certain inclusion relations have been discussed which generalize several known results of Shiue [10], Sanhan and Suantai [9], and Leibowitz [2].

Słowa kluczowe

EN

Cesaro sequence space; modulus function

PL

przestrzeń sekwencji Cesàro; funkcja modułu

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 157--163
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Bala I.

• Department of Mathematics, Government College, Chhachhrauli (Yamuna Nagar)-135 103, India

Bibliografia

• [1] P. Y. Lee, Cesàro sequence spaces, Math. Chronicle 13 (1984), 29–45.
• [2] G. M. Leibowitz, A note on the Cesàro sequence spaces, Tamkang J. Math. 2 (1971), 151–157.
• [3] Y. Q. Lui, B. E. Wu, P. Y. Lee, Method of Sequence Spaces, Guangdong of Science and Technology Press, 1996 (Chinese).
• [4] I. J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press, 1970 (first edition).
• [5] I. J. Maddox, Sequence spaces defined by a modulus, Math. Proc. Camb. Philos. Soc. 100 (1986), 161–166.
• [6] I. J. Maddox, Inclusion between FK spaces and Kuttner’s theorem, Math. Proc. Camb. Philos. Soc. 101 (1987), 523–527.
• [7] H. Nakano, Concave modulars, J. Math. Soc. Japan 5 (1953), 29–49.
• [8] W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math. 25 (1973), 973–978.
• [9] W. Sanhan, S. Suantai, On k-nearly uniform convex property in generalized Cesàro sequence spaces, Internat. J. Math. Math. Sci. 57 (2003), 3599–3607.
• [10] J. S. Shiue, On the Cesàro sequence spaces, Tamkang J. Math. 1 (1970), 19–25.
• [11] A. Wilansky, Modern Methods in Topological Vector Spaces, McGraw-Hill, 1978.