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Multiplicative Inverse Functional Equations [electronic resource] : Theory and Applications / by B. V. Senthil Kumar, Hemen Dutta.

By: Senthil Kumar, B. V [author.].
Contributor(s): Dutta, Hemen [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 289Publisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: XI, 117 p. 6 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030453558.Subject(s): Engineering mathematics | Engineering—Data processing | Computational intelligence | Control engineering | Mathematical and Computational Engineering Applications | Computational Intelligence | Control and Systems TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
Introduction to Functional equations and Ulam stability theory -- Stability and instability of multiplicative inverse type tredecic and quottuordecic functional equations in non-Archimedean spaces -- Estimation of inexact multiplicative inverse type quindecic and sexdecic functional equations in Felbin’s type fuzzy normed spaces -- Classical approximations of multiplicative inverse type septendecic and octadecic functional equations in quasi-β-normed spaces -- Ulam stabilities of multiplicative inverse type novemdecic and vigintic functional equations in intuitionistic fuzzy normed spaces -- Solution to the Ulam stability problem of multiplicative inverse type unvigintic and duovigintic functional equations in paranormed spaces -- Inexact solution of multiplicative inverse type trevigintic and quottuorvigintic functional equations in matrix normed spaces. .
In: Springer Nature eBookSummary: This book introduces readers to numerous multiplicative inverse functional equations and their stability results in various spaces. This type of functional equation can be of use in solving many physical problems and also has significant relevance in various scientific fields of research and study. In particular, multiplicative inverse functional equations have applications in electric circuit theory, physics, and relations connecting the harmonic mean and arithmetic mean of several values. Providing a wealth of essential insights and new concepts in the field of functional equations, the book is chiefly intended for researchers, graduate schools, graduate students, and educators, and can also used for seminars in analysis covering topics of functional equations. .
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Introduction to Functional equations and Ulam stability theory -- Stability and instability of multiplicative inverse type tredecic and quottuordecic functional equations in non-Archimedean spaces -- Estimation of inexact multiplicative inverse type quindecic and sexdecic functional equations in Felbin’s type fuzzy normed spaces -- Classical approximations of multiplicative inverse type septendecic and octadecic functional equations in quasi-β-normed spaces -- Ulam stabilities of multiplicative inverse type novemdecic and vigintic functional equations in intuitionistic fuzzy normed spaces -- Solution to the Ulam stability problem of multiplicative inverse type unvigintic and duovigintic functional equations in paranormed spaces -- Inexact solution of multiplicative inverse type trevigintic and quottuorvigintic functional equations in matrix normed spaces. .

This book introduces readers to numerous multiplicative inverse functional equations and their stability results in various spaces. This type of functional equation can be of use in solving many physical problems and also has significant relevance in various scientific fields of research and study. In particular, multiplicative inverse functional equations have applications in electric circuit theory, physics, and relations connecting the harmonic mean and arithmetic mean of several values. Providing a wealth of essential insights and new concepts in the field of functional equations, the book is chiefly intended for researchers, graduate schools, graduate students, and educators, and can also used for seminars in analysis covering topics of functional equations. .

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