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Some Triple Difference Rough Ces`aro and Lacunary Statistical Sequence Spaces

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Some Triple Difference Rough Ces` aro and Lacunary Statistical Sequence Spaces

Ayhan Esi and Nagarajan Subramanian

Abstract: We generalized the concepts in probability of rough Ces`aro and lacunary statistical by introducing the difference operator ∆αγ of fractional order, where α is a proper fraction and γ = (γmnk) is any fixed sequence of nonzero real or complex numbers. We study some proper- ties of this operator involving lacunary sequence θ and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces.

The main focus of the present paper is to generalized rough Ces`aro and lacunary statistical of triple difference sequence spaces and investi- gate their topological structures as well as some inclusion concerning the operator ∆αγ.

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