ON τ -INEQUALITIES AND EQUATIONS EMERGING FROMSQUARE ROOT MAPPINGS

This work aims to present equations and -inequalities resulting from square root mappings.The noteworthy stability results related to various inequalities and equations with additive, quadratic, cubic and quartic mappings as approximate solutions motivated us to introduce novel form of functional inequalities and equations involved with radical arguments.We prove the stabilities of the inequalities and equations dealt in this study through Hyers' method (direct method) in the domain of non-negative real numbers.

Publication Details

Journal
Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Published
2025-01-01
DOI
https://doi.org/10.30546/2409-4994.2025.51.1.1016
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
0.00

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article

ON τ -INEQUALITIES AND EQUATIONS EMERGING FROMSQUARE ROOT MAPPINGS

Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Functional Equations Stability Results
article

ON τ -INEQUALITIES AND EQUATIONS EMERGING FROMSQUARE ROOT MAPPINGS

article en

Abstract

This work aims to present equations and -inequalities resulting from square root mappings.The noteworthy stability results related to various inequalities and equations with additive, quadratic, cubic and quartic mappings as approximate solutions motivated us to introduce novel form of functional inequalities and equations involved with radical arguments.We prove the stabilities of the inequalities and equations dealt in this study through Hyers' method (direct method) in the domain of non-negative real numbers.

Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Science and Engineering Research Board
Reduced inequalities
Openalex Percentile: Top 83%
Functional Equations Stability Results
DOIOpen Access PDFOpenAlex
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ON τ -INEQUALITIES AND EQUATIONS EMERGING FROMSQUARE ROOT MAPPINGS · Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan (2025) | TGRS Research Map | TGRS