Paranormed Sequence Space of Non-absolute Type Founded Using Generalized Difference Matrix

A different approach for almost sequence spaces defined by a generalized weighted means

“…Corollary 4: The following statements hold: i) = ( ) ∈ : ( , ) necessary and sufficient condition (19), (20), (22) and (26) yield with lieu of . ii) = ( ) ∈ : ( , ) necessary and sufficient condition (20), (22) and (26) yield with lieu of .…”

“…Further, using generalized difference Fibonacci matrix, Candan and Kayaduman defined ̂ ( , ) space [24]. Furthermore, it can be looked at those works about this topic nearly: [9], [10], [11], [25], [26], [27], [28], [29], [30], [31]…”

“…[18] v) = ( ) ∈ ( : ) necessary and sufficient condition (15), (22) and (24) yield. [19] vi) = ( ) ∈ ( : ) necessary and sufficient condition (19), (20), (22) and (26) yield. [20] vii) = ( ) ∈ ( : ) necessary and sufficient condition (20), (22), (25) and (26) yield.…”

A new perspective on paranormed Riesz sequence space of non-absolute type

“…More recently, the Riesz sequence spaces r q (u, p) and r q (∆ p u ) of non-absolute type have been introduced and studied by Ganie and Sheikh [65,66]. After then, some new Riesz sequence spaces have been introduced and examined Candan & Güneş [28] and Candan & Kılınç [30]. When compared to the corresponding results in the literature; it is seen that the results of the present study are more general and more inclusive.…”

“…Moreover, the ones who are more interested in the subject are advised to read [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52]. We should note here, there are many different ways to construct new sequence spaces from old ones.…”