Results 21 to 30 of about 118 (107)
Topological duals of some paranormed sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1883-1897, 2003., 2003 Let P = (pk) be a bounded positive sequence and let A = (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A, P] ∞((Ek)), [A, P] 0((Ek)), and [A, P]((E)), which generalise almost all the well‐known sequence spaces such as c0, c, lp, l∞, and wp.
Nandita Rath
wiley +1 more source
Some geometric properties of the metric space V[λ,p]
, 2013 In this study, we consider the space [InlineEquation not available: see fulltext.] with an invariant metric. Then, we examine some geometric properties of the linear metric space [InlineEquation not available: see fulltext.] such as property ...
Mikail Et +5 more
core +2 more sources
Some sequence spaces and statistical convergence
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 303-306, 2002., 2002 We introduce the strongly (V, λ)‐convergent sequences and give the relation between strongly (V, λ)‐convergence and strongly (V, λ)‐convergence with respect to a modulus.
E. Savaş
wiley +1 more source
Exponential inequalities for a class of operators
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 283-290, 2002., 2002 Characterizations of weight pairs are proved for which weighted exponential‐logarithmic integral inequalities are satisfied. The results given contain characterizations of weights for which inequalities involving the Riemann‐Liouville and Laplace type operators hold.
Hans P. Heinig
wiley +1 more source
Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function [PDF]
, 2014 In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces.
Sharma, Sunil K., Raj, Kuldip
core +1 more source
Vector‐valued sequence spaces generated by infinite matrices
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 547-560, 2001., 2001 Let A = (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A, P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp, and several others.
Nandita Rath
wiley +1 more source
Some conditions under which subsequential convergence follows from (A, m) summability
, 2010 In this paper, we obtain some conditions on a sequence under which subsequential convergence (Math. Morav. 5, 19-56 (2001; Zbl 1047.40005)) of the sequence follows from its (A, m) summability. 2010 Mathematics Subject Classifications. 40A05, 40E05, 40G05.
Mehmet Dik, İbrahim Çanak, Ümit Totur
core +1 more source
On a three-dimensional system of difference equations with variable coefficients [PDF]
, 2021 Consider the three-dimensional system of difference equations xn+1 = ∏k j=0 zn−3j ∏k j=1 xn−(3j−1) ( an + bn ∏k j=0 zn−3j ), yn+1 = ∏k j=0 xn−3j ∏k j=1 yn−(3j−1) ( cn + dn ∏k j=0 xn−3j ), zn+1 = ∏k j=0 yn−3j ∏k j=1 zn−(3j−1) ( en +
Nouressadat, Touafek +3 more
core
Open Mathematics, 2019 The set of subsums of the series ∑n=1∞$\begin{array}{} \sum_{n=1}^{\infty} \end{array}$ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval.
Ferdinands John, Ferdinands Timothy
doaj +1 more source
Ishikawa iteration process with errors for nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 413-417, 2001., 2001 We study the construction and the convergence of the Ishikawa iterative process with errors for nonexpansive mappings in uniformly convex Banach spaces. Some recent corresponding results are generalized.
Jialin Huang
wiley +1 more source