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By Marek Kuczma,Attila Gilányi

Marek Kuczma was once 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 less than the supervision of Stanislaw Golab. within the yr of his habilitation, in 1963, he received a place on the Katowice department of the Jagiellonian college (now college of Silesia, Katowice), and labored there until his death.

Besides his a number of administrative positions and his amazing educating job, he comprehensive first-class and wealthy medical paintings publishing 3 monographs and one hundred eighty clinical papers.

He is taken into account to be the founding father of the distinguished Polish institution of sensible equations and inequalities.

"The moment half the name of this e-book describes its contents correctly. most likely even the main dedicated professional should not have concept that approximately three hundred pages should be written with reference to the Cauchy equation (and on a few heavily comparable equations and inequalities). And the ebook is on no account chatty, and doesn't even declare completeness. half I lists the necessary initial wisdom in set and degree concept, topology and algebra. half II offers information on strategies of the Cauchy equation and of the Jensen inequality [...], particularly on non-stop convex capabilities, Hamel bases, on inequalities following from the Jensen inequality [...]. half III bargains with similar equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex features of upper order, subadditive features and balance theorems). It concludes with an expedition into the sector of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)

"This ebook is a true vacation for all of the mathematicians independently in their strict speciality. it is easy to think what deliciousness represents this ebook for sensible 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

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