The Journal of the Indian Mathematical Society

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Some Generalisation of Strong and Absolute almost Convergence


Affiliations
1 P.G. Dept. of Mathematics, Utkal University, Bhubaneswar—751004, India
2 Dept. of Mathematics, Regional College of Education, Bhubaneswar—751007, India
     

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Let l∞ be set of all bounded sequences x = (xn) with the norm

                                               ||x|| = sup |xn|.

Given an infinite series Σ an which we will denote by a, let

                                         xn = a0 + a1 + ......... + an (1.1)

We will suppose throughout that a and x are connected by the relation (1.1).


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  • Some Generalisation of Strong and Absolute almost Convergence

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Authors

G. Das
P.G. Dept. of Mathematics, Utkal University, Bhubaneswar—751004, India
K. A. S. S. V. K. Rao
Dept. of Mathematics, Regional College of Education, Bhubaneswar—751007, India

Abstract


Let l∞ be set of all bounded sequences x = (xn) with the norm

                                               ||x|| = sup |xn|.

Given an infinite series Σ an which we will denote by a, let

                                         xn = a0 + a1 + ......... + an (1.1)

We will suppose throughout that a and x are connected by the relation (1.1).