Results 31 to 40 of about 427,889 (308)
Strong Whitney and strong uniform convergences on a bornology
Abstract For any two metric spaces ( X , d ) , ( Y , ρ ) and a bornology B on X, we study the relationship between strong uniform convergence (introduced by Beer and Levi in [8] ) and strong Whitney convergence (introduced by A. Caserta in [15] ) on B on Y X (and C ( X , Y ) ). The relationships
Tarun Kumar Chauhan, Varun Jindal
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Strong Convergence for Hybrid S-Iteration Scheme
We establish a strong convergence for the hybrid S-iterative scheme associated with nonexpansive and Lipschitz strongly pseudocontractive mappings in real Banach spaces.
Shin Min Kang+2 more
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Infinite matrices and absolute almost convergence
In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
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On strong convergence of arrays [PDF]
In this paper we study almost sure convergence for arrays of independent and identically distributed random variables. We obtain a condition under which Marcinkiewicz's strong law holds and get a rate analogous to the law of the iterated logarithm under a condition weaker than Hu and Weber's.
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Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals
We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al.
Saejung Satit
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Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
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Strong Convergence of Mann’s Iteration Process in Banach Spaces
Mann’s iteration process for finding a fixed point of a nonexpansive mapping in a Banach space is considered. This process is known to converge weakly in some class of infinite-dimensional Banach spaces (e.g., uniformly convex Banach spaces with a ...
Hong-Kun Xu+2 more
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian+2 more
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On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Let an,n≥1 be a sequence of positive constants with an/n↑ and let X,Xn,n≥1 be a sequence of pairwise negatively quadrant dependent random variables. The complete convergence for pairwise negatively quadrant dependent random variables is studied under ...
Aiting Shen, Ying Zhang, Andrei Volodin
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Cardinal Functions, Bornologies and Strong Whitney convergence [PDF]
Let $C(X)$ be the set of all real valued continuous functions on a metric space $(X,d)$. Caserta introduced the topology of strong Whitney convergence on bornology for $C(X)$ in [A. Caserta, Strong Whitney convergence, Filomat, 2012], which is a generalization of the topology of strong uniform convergence on bornology introduced by Beer-Levi in [Beer ...
arxiv