On the Lucas Difference Sequence Spaces Defined by Modulus Function

In this paper, firstly, we define the Lucas difference sequence spaces by the help of Lucas sequence and a sequence of modulus function. Besides, we give some inclusion relations and examine geometrical properties such as Banach-Saks type p, weak fixed point property

Remarkable Applications of Measure of Non-compactness For Infinite System of Differential Equations

The essential goal of our study is to search for a solution of an infinite system of differential equations in two different Banach spaces under certain assumptions by the aid of measure of noncompactness. Also, we establish some interesting examples related to our results

On the New Generalized Block Difference Sequence Space

In this current study, the most apparent aspect is to submit a new block sequence space. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of finding the norm of certain matrix operators from l_p into this space and apply our results to Copson and Hilbert matrices