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Tag: Inequalities

An Introduction to the Theory of Functional Equations and Inequalities (Cauchy’s Equation and Jensen’s Inequality)

Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991.After finishing high school in his home town, he studied at the Jagiellonian University in Krakow. He defended his doctoral dissertation under the supervision of Stanislaw Golab. Read more…


Elementary Inequalities

An important skill to be got by students in mathematics competition training is a well knowledge of Elementary Classical Inequalities and their applications. They play a central role in Problem Solving and frequently appear in Olympiads and Contest around the Read more…


Analytic Methods for Diophantine Equations and Diophantine Inequalities

HaroldDavenportwasoneofthetrulygreatmathematiciansofthetwentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides Read more…


The Cauchy-Schwarz Master Class (An Introduction to the Art of Mathematical Inequalities)

Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions, in a style reminiscent of George Read more…


Functional Equations and Inequalities

J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Read more…


Mathematical Inequalities – (North-Holland Mathematical Library,Vol.67)

The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics. * It contains Read more…


When Less is More (Visualizing Basic Inequalities)

Inequalities permeate mathematics, from the Elements of Euclid to operations research and financial mathematics. Yet too often the emphasis is on things equal to one another rather than unequal. While equalities and identities are without doubt important, they don’t possess Read more…