Statistical and Lacunary Statistical Convergence of Sequence Spaces - Basu, Anindita
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The development of the study of sequence spaces got momentum by the introduction of new convergence methods. Some of them are statistical convergence, lacunary convergence, lacunary statistical convergence etc.In the thesis, I have basically concentrated on various type of convergence methods and developed new classes of statistical and lacunary convergent sequences by using Orlicz and Modulus functions. We have also introduced these convergence methods in the space of vector valued double difference sequences. The concept of statistical convergence which is defined for locally convex…mehr

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Produktbeschreibung
The development of the study of sequence spaces got momentum by the introduction of new convergence methods. Some of them are statistical convergence, lacunary convergence, lacunary statistical convergence etc.In the thesis, I have basically concentrated on various type of convergence methods and developed new classes of statistical and lacunary convergent sequences by using Orlicz and Modulus functions. We have also introduced these convergence methods in the space of vector valued double difference sequences. The concept of statistical convergence which is defined for locally convex topological vector space, seminormed space etc. has been extended for the class of composite vector valued sequence spaces and further, we have proved some results analogues to the results obtained by earlier authors, like, Salat [1980], Fridy [1985], Connor [1988] etc. By combining the concepts of matrix summability, lacunary convergence, Orlicz functions, difference sequences we obtained new classof sequence spaces which generalizes many known sequence spaces and also plays an important role in comparison to vector valued strongly Ces aro-type summable sequence spaces.
Autorenporträt
Anindita Basu,a small town girl did her post graduation in Pure Mathematics from Calcutta University in 2000.In 2001,she qualified GATE and got selected into India's premiere Institute "IIT KHARAGPUR" for Ph.D. Finally, she qualified Elligibility test for lectureship and got an opportunity to bag a job in a Government aided College.