Abstract
In this paper, we investigated the notion of generalized weighted λ-statistical convergence connecting \( \left( {\bar{N}_{\lambda } , p_{n} } \right)^{F} \)-statistical summability of sequences of fuzzy numbers. Some inclusion relations and other related results for the new summability methods are also given. Furthermore, we give a Korovkin-type approximation theorem for fuzzy positive linear operators using the notion of generalized weighted \( \left( {\bar{N}_{\lambda } , p_{n} } \right)^{F} \)-statistical summability.
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Acknowledgements
The authors are grateful to the anonymous referees for their constructive comments which were helpful to improve the manuscript.
Funding
This study was funded by University Grants Commission (UGC), New Delhi, India (grant number: F./2015-16/NFO-2015-17-OBC-ASS-36722/(SA-III/Web site)).
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Dutta, H., Gogoi, J. Weighted λ-statistical convergence connecting a statistical summability of sequences of fuzzy numbers and Korovkin-type approximation theorems. Soft Comput 23, 12883–12895 (2019). https://doi.org/10.1007/s00500-019-03846-2
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DOI: https://doi.org/10.1007/s00500-019-03846-2