Results 21 to 30 of about 106 (99)
On pointwise and uniform statistical convergence of order α for sequences of functions [PDF]
, 2013 In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order ? for sequences of real-valued functions. Furthermore, we give the concept of an ?-statistically Cauchy sequence for sequences of real-valued functions and
Çınar, Muhammed +2 more
core +1 more source
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 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
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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 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
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
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
Some new facts about group 𝒢 generated by the family of convergent permutations
Open Mathematics, 2017 The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms.
Wituła Roman +2 more
doaj +1 more source
Some properties of Banach‐valued sequence spaces ℓp[X]
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 289-300, 2001., 2001 We discuss some properties of the Banach‐valued sequence space ℓp[X](1 ≤ p < ∞), the space of weakly p‐summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X].
Qingying Bu
wiley +1 more source