ON THE (DELTA,f)-LACUNARY STATISTICAL CONVERGENCE OF THE FUNCTIONS
- Resource Type
- Authors
- Sözbir, Bayram; Altundağ, Selma; Başarır, Metin
- Source
- Volume: 2, Issue: 1 1-8
Maltepe Journal of Mathematics
- Subject
- Lacunary statistical convergence
Matematik
Modulus function,lacunary statistical convergence,delta measure on time scale,time scale
Mathematics::Classical Analysis and ODEs
Time scale
Modulus function
Delta measure on time scale
Mathematics
- Language
- English
- ISSN
- 2667-7660
In this paper, we introduce the concept of ∆f -lacunary statistical convergence for a ∆-measurable real-valued function defined on time scale, where f is an unbounded modulus. Our motivation here is that this definition includes many well-known concepts which already exist in the literature. We also define strong ∆f -lacunary Cesaro summability on a time scale and give some results related to these new concepts. Furthermore, we obtain necessary and sufficient conditions for the equivalence of ∆f-convergence and ∆f -lacunary statistical convergence on a time scale.