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 collage in Kraków. He defended his doctoral dissertation below the supervision of Stanislaw Golab. within the 12 months of his habilitation, in 1963, he received a place on the Katowice department of the Jagiellonian collage (now college of Silesia, Katowice), and labored there until eventually his death.
Besides his a number of administrative positions and his remarkable instructing job, he finished first-class and wealthy medical paintings publishing 3 monographs and a hundred and eighty medical papers.
He is taken into account to be the founding father of the distinguished Polish college of practical equations and inequalities.
"The moment half the identify of this booklet describes its contents correctly. most likely even the main dedicated professional don't have concept that approximately three hundred pages might be written as regards to the Cauchy equation (and on a few heavily comparable equations and inequalities). And the publication is under no circumstances chatty, and doesn't even declare completeness. half I lists the mandatory initial wisdom in set and degree concept, topology and algebra. half II provides information on options of the Cauchy equation and of the Jensen inequality [...], particularly on non-stop convex services, Hamel bases, on inequalities following from the Jensen inequality [...]. half III bargains with comparable equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex capabilities of upper order, subadditive services 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. you will think what deliciousness represents this booklet for useful equationists." (B. Crstici, Zentralblatt für Mathematik)
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An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality by Marek Kuczma,Attila Gilányi