Results 41 to 50 of about 227 (91)
The Abel‐type transformations into ℓ
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 775-784, 1999., 1999 Let t be a sequence in (0, 1) that converges to 1, and define the Abel‐type matrix Aα,t by for α > −1. The matrix Aα,t determines a sequence‐to‐sequence variant of the Abel‐type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into ℓ.
Mulatu Lemma
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 785-793, 1999., 1999 In 1900, Pringsheim gave a definition of the convergence of double sequences. In this paper, that notion is extended by presenting definitions for the limit inferior and limit superior of double sequences. Also the core of a double sequence is defined.
Richard F. Patterson
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Invariant means and lacunary sequence spaces of order (α, β)
Demonstratio MathematicaIn this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
doaj +1 more source
Noninclusion theorems for summability matrices
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 511-516, 1997., 1997 For both ordinary convergence and ℓ1‐summability explicit sufficient conditions on a matrix have long been known that ensure that the summability method is strictly stronger than the identity map. The main results herein show that a matrix that satisfies those conditions can be included by another matrix only if the other matrix satisfies those same ...
J. A. Fridy
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Universal matrix transforms of holomorphic functions [PDF]
, 2006 The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence.
Bernal González, Luis +2 more
core
Submatrices of four dimensional summability matrices [PDF]
, 2015 In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a matrix that preserves boundedness.
Nuray, Fatih, Patterson, Richard F.
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Optimization and matrix constructions for classification of data [PDF]
, 2011 Max-plus algebras and more general semirings have many useful applications and have been actively investigated. On the other hand, structural matrix rings are also well known and have been considered by many authors.
Abawajy, J. L. +4 more
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Lacunary statistical convergence of double sequences [PDF]
, 2005 In 1978 Freedman, Sember, and Raphael presented a definition for lacunary refinement as follows: $rho={bar{k}_{r}}$ is called a lacunary refinement of the lacunary sequence $theta ={k_{r}}$ if ${k_{r}}subseteq {bar{k}_{r}}$.
E. Savaş, R. F. Patterson
core
Double sequences of interval numbers defined by Orlicz functions [PDF]
, 2013 We define and study λ2-convergence of double sequences of interval numbers dened by Orlicz function and λ2-statistical convergence of double sequences of interval numbers.
Esi, Ayhan
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Approving the ISDWIR method of risk measurement in making risk management decision [PDF]
, 2014 This paper is devoted to risk management and risk measurement methods. The author considers methods of risk measurement and proposes the Inte- gral Sum of Differential Weighted Indexes of Risks (or ISDWIR) method of risk measurement.
Strelnik, Mikhail
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