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

Masoumeh Madadi; Donal O’Regan; Themistocles M. Rassias; Reza Saadati

doi:10.1186/s13660-021-02548-4

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

Masoumeh Madadi, Donal O’Regan, Themistocles M. Rassias, Reza Saadati

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Article number	13
Journal	Journal of Inequalities and Applications
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13660-021-02548-4
Publication status	Published - 2021

Keywords

Hausdorff–Pompeiu distance
Hyers–Ulam stability
MB-algebra
Stochastic matrix control function
κ-random operator inequality

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10.1186/s13660-021-02548-4

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title = "Best approximation of κ-random operator inequalities in matrix MB-algebras",

abstract = "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.",

keywords = "Hausdorff–Pompeiu distance, Hyers–Ulam stability, MB-algebra, Stochastic matrix control function, κ-random operator inequality",

author = "Masoumeh Madadi and Donal O{\textquoteright}Regan and Rassias, \{Themistocles M.\} and Reza Saadati",

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AU - Madadi, Masoumeh

AU - O’Regan, Donal

AU - Rassias, Themistocles M.

AU - Saadati, Reza

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Hausdorff–Pompeiu distance

KW - Hyers–Ulam stability

KW - MB-algebra

KW - Stochastic matrix control function

KW - κ-random operator inequality

UR - https://www.scopus.com/pages/publications/85099363754

U2 - 10.1186/s13660-021-02548-4

DO - 10.1186/s13660-021-02548-4

M3 - Article

AN - SCOPUS:85099363754

SN - 1025-5834

VL - 2021

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 13

ER -

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

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Keywords

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