Advances in Mathematical Inequalities and Applications
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Beschreibung
This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.
This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.
Presents a collection of original research and survey articles on mathematical inequalities and their applications Bridges the gap between the existing literature on inequalities and applications Introduces the topic in a concrete way, discussing all the basic definitions and notations Is useful to researchers and professionals in mathematics and engineering
Autor*in
Praveen Agarwal
Themen in »Advances in Mathematical Inequalities and Applications«
Cebyšev functional Grüss type inequality Integral inequalities Lebesgue ˇ p−norms Normed algebras Unital algebras Generalised triangle inequality Riemann-Stieltjes integral Functions of bounded variation