Best approximation of κ-random operator inequalities in matrix MB-algebras

Best approximation of κ-random operator inequalities in matrix MB-algebras

We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ -random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ -random operator inequalities and calculate the maximum error of the estimate.

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Veröffentlicht in:Journal of inequalities and applications 2021-01, Vol.2021 (1), p.1-14, Article 13
Hauptverfasser: Madadi, Masoumeh, O’Regan, Donal, Rassias, Themistocles M., Saadati, Reza
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Approximation
Hausdorff–Pompeiu distance
Hyers–Ulam stability
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
MB-algebra
Operators (mathematics)
Stochastic matrix control function
κ-random operator inequality
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Beschreibung
Zusammenfassung:We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ -random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ -random operator inequalities and calculate the maximum error of the estimate.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02548-4