Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]
, 2010 We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
core +4 more sources
The effect of category variability in perceptual categorization [PDF]
, 2002 Exemplar and distributional accounts of categorization make differing predictions for the classification of a critical exemplar precisely halfway between the nearest exemplars of 2 categories differing in variability.
Ashby +20 more
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Mr-factors and Qr-factors for near quasinorm on certain sequence spaces
International Journal of Mathematics and Mathematical Sciences, 2005 We study the multiplicativity factor and quadraticity factor for near quasinorm on certain sequence spaces of Maddox, namely, l(p) and l∞(p), where p=(pk) is a bounded sequence of positive real numbers.
Piyapong Niamsup, Yongwimon Lenbury
doaj +1 more source
On the Entire Paranormed Triple Sequence Spaces of Defined by Binomial Poisson Matrix
Turkish Journal of Analysis and Number Theory, 2020 In this paper the entire triple sequence space are the generalization of the classical Maddox's paranormed sequence space have been introduced and investigated some topological properties of entire triple sequence space of binomial Poisson matrix of ...
N. Subramanian, A. Esi, T. Shriprakash
semanticscholar +1 more source
On the Paranormed Nörlund Sequence Space of Nonabsolute Type
Abstract and Applied Analysis, 2014 Maddox defined the space ℓ(p) of the sequences x=(xk) such that ∑k=0∞|xk ...
Medine Yeşilkayagil, Feyzi Başar
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Generalized difference sequence spaces associated with a multiplier sequence on a real n-normed space [PDF]
, 2013 The purpose of this paper is to introduce new sequence spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-normed space.
Metin Başarır, Şükran Konca
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Domain of the Double Sequential Band Matrix in the Sequence Space
Abstract and Applied Analysis, 2013 The sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010).
Havva Nergiz, Feyzi Başar
doaj +1 more source
Iterated series and the Hellinger-Toeplitz theorem [PDF]
, 1992 We show that an iterated double series condition due to Antosik implies the uniform convergente of the double series. An application of Antosik's condition is given te the derivation of a vector form of the Hellinger-Toeplitz ...
Ch. Swartz, Charles Swartz
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Matrix Transformations of Double Convergent Sequences with Powers for the Pringsheim Convergence
MathematicsIn 2004–2006, the corresponding double sequence spaces were defined for the Pringsheim and the bounded Pringsheim convergence by Gokhan and Colak. In 2009, Colak and Mursaleen characterized some classes of matrix transformations transforming the space of
Maria Zeltser, Şeyda Sezgek
doaj +1 more source
A study of the q-analogue of the paranormed Cesàro sequence spaces
FilomatIn this article, we introduce and investigate the q-Ces?ro matrix C(q) = (cq uv) with q ? (0, 1) for which we have cq uv ={qv/[u + 1]q (0 ? v ? u) 0 (v > u), where the q-number [?]q is given, as usual in the q-theory, by [?]q := {1 ? q?/1 ? q (? ? C) ?
H. Srivastava, Taja Yaying, B. Hazarika
semanticscholar +1 more source