On $\mu$-statistical convergence
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- by B. T. Bilalov and S. R. Sadigova PDF
- Proc. Amer. Math. Soc. 143 (2015), 3869-3878 Request permission
Abstract:
The concept of $\mu$-statistical convergence at a point for measurable functions in measurable space with a measure is introduced in this work. This concept is a generalization of a similar idea about the sequence of numbers. We also introduce the concept of $\mu$-statistical fundamentality at a point, and the equivalence of these two concepts is proved. The concept of $\mu$-statistical convergence at a point generalizes the usual one of the limit of a function at a point.References
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Additional Information
- B. T. Bilalov
- Affiliation: Department of Non-harmonic Analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, B. Vahabzadeh 9, Baku, Azerbaijan Republic, AZ1141
- Email: b_bilalov@mail.ru
- S. R. Sadigova
- Affiliation: Department of Non-harmonic Analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, B. Vahabzadeh 9, Baku, Azerbaijan Republic, AZ1141
- Email: s_sadigova@mail.ru
- Received by editor(s): July 28, 2013
- Received by editor(s) in revised form: April 21, 2014
- Published electronically: February 26, 2015
- Communicated by: Sergei K. Suslov
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3869-3878
- MSC (2010): Primary 40A05, 26A15, 11B05
- DOI: https://doi.org/10.1090/S0002-9939-2015-12528-2
- MathSciNet review: 3359578