A Study on Lacunary Strong E(r,t) - Convergence According to Fk

Abstract

Abstract: In this manuscript, by using a double band matrix such as Lucas band matrix, a lacunary sequence and a sequence of modulus functions a new generalization is studied in which the concept of lacunary strong  E(r,t)-convergence according to Fk is introduced. Then this concept is to be base to create the sequence space Ntheta(E(r,t), Fk).

Furthermore, some inclusion relationships are given on this generalization. Finally, the connections between the sequence spaces Ntheta(E(r,t), Fk and w(E(r,t), Fk) are investigated.