This paper introduces fuzzy numbers and statistical summability methods, highlighting the Korovkin-type theorem's implications.
In the present paper, we introduce the concepts of Δf,b,a--harmonic summability, Δf,b,a--statistical harmonic summability and Δf,b,a--logarithmic statistical convergence of sequences of fuzzy numbers, where Δf,b,a is fractional difference operator introduced by Baliarsingh {Bal2016}. Then, we investigate the relationship between the sorts of new definitions. Also, we give some results on limits of Δf,b,a--logarithmic statistical convergence for these sequences. Finally, we use the new statistical summability method to prove a Korovkin-type approximation theorem.
No takes yet. Share an insight, caveat, or question.
Funda Babaarslan (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: