-statistical convergence
Mohammad Mursaleen (2000)
Mathematica Slovaca
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Mohammad Mursaleen (2000)
Mathematica Slovaca
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Fatih Nuray (2011)
Mathematica Bohemica
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The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and -convergence to weak -convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.
Alotaibi, Abdullah M. (2007)
International Journal of Mathematics and Mathematical Sciences
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Işik, Mahmut (2010)
Journal of Inequalities and Applications [electronic only]
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Bhardwaj, Vinod K., Bala, Indu (2007)
International Journal of Mathematics and Mathematical Sciences
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Ioannis Argyros, Hongmin Ren (2008)
Open Mathematics
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We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide...