Name: Multiplicative Inverse Functional Equations
ISBN: 978-3-030-45355-8

Overview

Authors:

B. V. Senthil Kumar ⁰,
Hemen Dutta ¹

B. V. Senthil Kumar
1. Department of Information Technology, Nizwa College of Technology, Nizwa, Oman
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Hemen Dutta
1. Department of Mathematics, Gauhati University, Guwahati, India
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Provides new concepts on multiplicative inverse functional equations
Includes many applications of various multiplicative inverse functional equations in electric circuit theory, physics, and relations connecting the harmonic mean and arithmetic mean of several values
Introduces readers to numerous multiplicative inverse functional equations and their stability results in various spaces

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 289)

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Table of contents (7 chapters)

Front Matter

Pages i-xi

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Introduction to Functional Equations and Ulam Stability Theory
- B. V. Senthil Kumar, Hemen Dutta
Pages 1-20
Stability and Instability of Multiplicative Inverse Type Tredecic and Quottuordecic Functional Equations in Non-archimedean Spaces
- B. V. Senthil Kumar, Hemen Dutta
Pages 21-31
Estimation of Inexact Multiplicative Inverse Type Quindecic and Sexdecic Functional Equations in Felbin’s Type Fuzzy Normed Spaces
- B. V. Senthil Kumar, Hemen Dutta
Pages 33-44
Classical Approximations of Multiplicative Inverse Type Septendecic and Octadecic Functional Equations in Quasi-\(\beta \)-normed Spaces
- B. V. Senthil Kumar, Hemen Dutta
Pages 45-55
Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces
- B. V. Senthil Kumar, Hemen Dutta
Pages 57-73
Solution to the Ulam Stability Problem of Multiplicative Inverse Type Unvigintic and Duovigintic Functional Equations in Paranormed Spaces
- B. V. Senthil Kumar, Hemen Dutta
Pages 75-96
Inexact Solution of Multiplicative Inverse Type Trevigintic and Quottuorvigintic Functional Equations in Matrix Normed Spaces
- B. V. Senthil Kumar, Hemen Dutta
Pages 97-109
Back Matter

Pages 111-117

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Keywords

About this book

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.

Authors and Affiliations

Department of Information Technology, Nizwa College of Technology, Nizwa, Oman

B. V. Senthil Kumar
Department of Mathematics, Gauhati University, Guwahati, India

Hemen Dutta

About the authors

Dr. B. V. Senthil Kumar works at the Department of Information Technology, Nizwa College of Technology, Nizwa, Oman. His areas of interest include the solution and stability of functional, differential and difference equations, operations research, statistics and discrete mathematical structures. Having obtained his Ph.D. in 2015, he has more than 20 years of teaching and 10 years of research experience. He has published more than 50 research papers in respected national and international journals; co-authored three books; and contributed three book chapters. In addition, he is a member of various mathematical societies and serves as a reviewer or editorial committee member for several journals.

Dr. Hemen Dutta is a regular faculty member at the Department of Mathematics, Gauhati University, India. His research interests include mathematical analysis, mathematical modeling, etc. He has published over 100 research papers and book chapters, as well as 14books, including textbooks, reference books, monographs, edited books and conference proceedings. He has also published several articles in newspapers, magazines and science portals.

Bibliographic Information

Book Title: Multiplicative Inverse Functional Equations
Book Subtitle: Theory and Applications
Authors: B. V. Senthil Kumar, Hemen Dutta
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-45355-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-45354-1Published: 07 April 2020
Softcover ISBN: 978-3-030-45357-2Published: 07 April 2021
eBook ISBN: 978-3-030-45355-8Published: 06 April 2020
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XI, 117
Number of Illustrations: 6 b/w illustrations
Topics: Mathematical and Computational Engineering, Computational Intelligence, Control and Systems Theory
Industry Sectors: Aerospace, Automotive, Biotechnology, Electronics, Energy, Utilities & Environment, Engineering, IT & Software, Oil, Gas & Geosciences, Telecommunications

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Multiplicative Inverse Functional Equations

Overview

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Table of contents (7 chapters)

Front Matter

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-\(\beta \)-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

Back Matter

Keywords

About this book

Authors and Affiliations

Department of Information Technology, Nizwa College of Technology, Nizwa, Oman

Department of Mathematics, Gauhati University, Guwahati, India

About the authors

Bibliographic Information

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