Multiplicative inverse functional equations : theory and applications /: theory and applications. (2020)

• Record Type: Book
• Further Information: Note: B.V. Senthil Kumar, Hemen Dutta.
• Other Names: Senthil Kumar, B. V; Dutta, Hemen, 1981-
• Contents: Intro -- Preface -- Contents -- About the Authors -- 1 Introduction to Functional Equations and Ulam Stability Theory -- 1.1 Significance of Functional Equations -- 1.2 Application of Functional Equation in Geometry -- 1.3 Application of Functional Equation in Financial Management -- 1.4 Application of Functional Equation in Information Theory -- 1.5 Application of Functional Equation in Wireless Sensor Networks -- 1.6 Interpretation of Multiplicative Inverse Functional Equations -- 1.6.1 Geometrical Interpretation of Eq. (1.17) 1.6.2 An Application of Eq. (1.17) to Resistances connected in parallel -- 1.7 Relevance of RQD and RQA Functional Equations -- 1.8 Ulam's Motivation Problem for Stability of Functional Equation -- 1.9 Stability of Functional Equation Incorporated with a Positive Constant (or H-U Stability) -- 1.10 Stability of Functional Equation Incorporated with Sum of Exponents of Norms (or H-U-R Stability) -- 1.11 Stability of Functional Equation Incorporated with Product of Exponents of Norms (or U-G-R Stability) 1.12 Stability of Functional Equation Involving a General Control Function (or Generalized H-U-R Stability) -- 1.13 Stability Involving Assorted Type of Multiplication-Addition of Exponents of Norms (or JMR Stability) -- 1.14 Various Types of Functional Equations -- 2 Stability and Instability of Multiplicative Inverse Type Tredecic and Quottuordecic Functional Equations in Non-archimedean Spaces -- 2.1 Introduction -- 2.2 Preliminaries -- 2.3 Fundamental Stabilities of Eqs. (2.1) and (2.2) -- 2.4 Counter-Examples 5 Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces -- 5.1 Introduction -- 5.2 Preliminaries -- 5.3 Ulam Stabilities of Eqs. (5.1) and (5.2) -- 5.4 Counter-Examples -- 6 Solution to the Ulam Stability Problem of Multiplicative Inverse Type Unvigintic and Duovigintic Functional Equations in Paranormed Spaces -- 6.1 Introduction -- 6.2 Preliminaries -- 6.3 Stability of (6.1): Direct Method -- 6.4 Stability of (6.2): Direct Method -- 6.5 Stability of (6.1): Fixed Point Method
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (124 pages)
• Subjects: 515/.75; Functional equations; Artificial intelligence; Automatic control engineering; Maths for engineers; Technology & Engineering -- Engineering (General); Technology & Engineering -- Automation; Functional equations; Electronic books
• Languages: English
• ISBNs: 9783030453558; 3030453553
• Related ISBNs: 9783030453541; 3030453545
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.