Muhammed Çınar

On λ-statistical convergence of order α of sequences of function

In this study we introduce the concept of Sλα(f)-statistical convergence of sequences of real valued functions. Also some relations between Sλα(f)-statistical convergence and strong wλpβ(f)-summability are given.MSC:40A05, 40C05, 46A45.

On pointwise and uniform statistical convergence of order α for sequences of functions

In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order α for sequences of real-valued functions. Furthermore, we give the concept of an α-statistically Cauchy sequence for sequences of real-valued functions and prove that it is equivalent to pointwise statistical convergence of order α for sequences of real-valued functions. Also, some relations between Sα(f)-statistical convergence and strong wpβ(f)-summability are given.MSC:40A05, 40C05, 46A45.

Some geometric properties of the metric space V (λ, p)

In this study, we consider the space V[λ,p] with an invariant metric. Then, we examine some geometric properties of the linear metric space V[λ,p] such as property (β), property (H) and k-NUC property.MSC:40A05, 46A45, 46B20.

Some geometric properties of a new modular space defined by Zweier operator

In this paper, we define the modular space Zσ(s,p) by using the Zweier operator and a modular. Then, we consider it equipped with the Luxemburg norm and also examine the uniform Opial property and property β. Finally, we show that this space has the fixed point property.MSC:40A05, 46A45, 46B20.

On asymptotically lacunary statistical equivalent of order α of difference sequences

In this study, we introduce and examine the concepts of Δθm−asymptotically statistical equivalent of order α and strong Δθm−asymptotically equivalent of order α of sequences. Also, we give some relations connected to these concepts.In this study, we introduce and examine the concepts of Δθm−asymptotically statistical equivalent of order α and strong Δθm−asymptotically equivalent of order α of sequences. Also, we give some relations connected to these concepts.

ON POINTWISE λ-STATISTICAL CONVERGENCE OF ORDER α OF SEQUENCE OF FUNCTIONS

In this study, we introduce the concepts of pointwise λ-statistical convergence of order α and pointwise [V, λ]-summability of order α of sequences of real valued functions. Some relations between -statistical convergence and strong -summability are given.