On new difference sequence spaces via Cesàro mean

Pinakadhar Baliarsingh; Sudarsan Nanda

doi:10.5269/bspm.52561

Pinakadhar Baliarsingh Kalinga Institute of Industrial Technology deemed to be University https://orcid.org/0000-0002-5618-0413
Sudarsan Nanda Kalinga Institute of Industrial Technology deemed to be University https://orcid.org/0000-0001-8155-5363

Abstract

In the present article, we define certain a set of new classes of sequence spaces by using Ces\`{a}ro mean and difference operator $\Delta^r\;\;r\in\mathbb{N}_0=\{0,1,2,3,\dots\}$. Also, we study the topological structures of the defined classes and determine their $\alpha-,\beta-$ and $\gamma-$ duals. Matrix transformations of given classes with their basic sequence spaces are characterized.

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