By Marek Kuczma,Attila Gilányi
Marek Kuczma used to be born in 1935 in Katowice, Poland, and died there in 1991.
After completing highschool in his domestic city, he studied on the Jagiellonian college in Kraków. He defended his doctoral dissertation less than the supervision of Stanislaw Golab. within the 12 months of his habilitation, in 1963, he got a place on the Katowice department of the Jagiellonian collage (now college of Silesia, Katowice), and labored there until his death.
Besides his numerous administrative positions and his awesome instructing job, he entire first-class and wealthy medical paintings publishing 3 monographs and one hundred eighty medical papers.
He is taken into account to be the founding father of the prestigious Polish college of sensible equations and inequalities.
"The moment half the name of this booklet describes its contents properly. most likely even the main committed expert wouldn't have proposal that approximately three hundred pages might be written as regards to the Cauchy equation (and on a few heavily similar equations and inequalities). And the ebook is in no way chatty, and doesn't even declare completeness. half I lists the mandatory initial wisdom in set and degree concept, topology and algebra. half II supplies information on recommendations of the Cauchy equation and of the Jensen inequality [...], specifically on non-stop convex features, Hamel bases, on inequalities following from the Jensen inequality [...]. half III offers with similar equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex capabilities of upper order, subadditive capabilities and balance theorems). It concludes with an expedition into the sector of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)
"This publication is a true vacation for the entire mathematicians independently in their strict speciality. one could think what deliciousness represents this publication for useful equationists." (B. Crstici, Zentralblatt für Mathematik)
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Extra resources for An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality
An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality by Marek Kuczma,Attila Gilányi