Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order
2015 ◽
Vol 2015
◽
pp. 1-6
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Keyword(s):
We generalize the lacunary statistical convergence by introducing the generalized difference operatorΔναof fractional order, whereαis a proper fraction andν=(νk)is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator and investigate the topological structures of related sequence spaces. Furthermore, we introduce some properties of the strongly Cesaro difference sequence spaces of fractional order involving lacunary sequences and examine various inclusion relations of these spaces. We also determine the relationship between lacunary statistical and strong Cesaro difference sequence spaces of fractional order.
2019 ◽
Vol 43
(11)
◽
pp. 1645-1661
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2017 ◽
Vol 37
(1)
◽
pp. 55-62