The Fourteenth Debrecen-Katowice Winter Seminar on Functional Equations and Inequalities was held in Hotel Aurum, Hajdúszoboszló, Hungary, from January 29 to February 1, 2014. It was organized by the Department of Analysis of the Institute of Mathematics of the University of Debrecen. The Winter Seminar was supported by the following organizations: - Institute of Mathematics, University of Debrecen; - Hungarian Scientific Research Fund Grant OTKA NK-81402. 27 participants came from the Silesian University of Katowice (Poland) and the University of Debrecen (Hungary), 13 from the former and 14 from the latter city. Professor Zsolt Páles opened the Seminar and welcomed the participants to Hajdúszoboszló. The scientific talks presented at the Seminar focused on the following topics: equations in a single variable and in several variables, iterative equations, equations on algebraic structures, regularity properties of the solutions of certain functional equations, functional inequalities, Hyers-Ulam stability, functional equations and inequalities involving mean values, generalized convexity. Interesting discussions were generated by the talks. There were profitable Problem Sessions. The social program included a Festive Dinner. Furthermore, the participants had the opportunity to take advantage of the use of the thermal bath located in the hotel. The closing address was given by Professor Roman Ger. His invitation to the Fifteenth Katowice-Debrecen Winter Seminar on Functional Equations and Inequalities in January 2015 in Poland was gratefully accepted. Summaries of the talks in alphabetic order of the authors follow in section 1, problems and remarks in chronological order in section 2, and the list of participants in the final section. (original abstract)
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