A comprehensive look at mean value theorems and their connection with functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it covers the Pompeiu and Flett mean value theorems, as well as extension to higher dimensions and the complex plane. Furthermore, the reader is introduced to the field of functional equations through equations that arise in connection with the many mean value theorems discussed.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
The goal of this chapter is to present some results concerning additive and biadditive functions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
biadditive functions, identric mean, continuous additive functions, many functional equations, integral mean value theorem, symmetric derivative, divided differences, arbitrary real constants, secant line, mean value theorems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applying Rolle, Applying Flett New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
The goal of this chapter is to present some results concerning additive and biadditive functions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
biadditive functions, identric mean, continuous additive functions, many functional equations, integral mean value theorem, symmetric derivative, divided differences, arbitrary real constants, secant line, mean value theorems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applying Rolle, Applying Flett New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 13
books:
See all 13 books this book cites
- Real Analysis by Andrew M. Bruckner in Back Matter
- Real Functions (Lecture Notes in Mathematics) by Brian S. Thomson in Back Matter
- Analysis of Numerical Methods (Dover Books on Mathematics) by Eugene Isaacson in Back Matter
- Differentiation of Real Functions (Crm Monograph Series) by Andrew Bruckner in Back Matter
- The Differential Equations Problem Solver (2 Volumes) by David R. Arterburn in Back Matter
See all 13 books this book cites
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