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Titlebook: An Introduction to the Theory of Functional Equations and Inequalities; Cauchy‘s Equation an Marek Kuczma,Attila Gilányi Textbook 2009Lates

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發(fā)表于 2025-3-21 17:34:36 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to the Theory of Functional Equations and Inequalities
期刊簡稱Cauchy‘s Equation an
影響因子2023Marek Kuczma,Attila Gilányi
視頻videohttp://file.papertrans.cn/156/155599/155599.mp4
發(fā)行地址Includes supplementary material:
圖書封面Titlebook: An Introduction to the Theory of Functional Equations and Inequalities; Cauchy‘s Equation an Marek Kuczma,Attila Gilányi Textbook 2009Lates
影響因子.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 Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death...Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers...He is considered to be the founder of the celebrated Polish school of functional equations and inequalities..."The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II give
Pindex Textbook 2009Latest edition
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沙發(fā)
發(fā)表于 2025-3-21 20:44:48 | 只看該作者
Zusammenfassung und Schlu?folgerungeninearly independent over ?, and . = ?., there exists a Hamel basis . of ?. such that . ? . ? . In particular, every set belonging to any of the classes ., ?, .(.), ., . contains a Hamel basis (Theorems 9.3.6 and 10.7.3 and Exercise 10.7). On the other hand, we have the following . . .(.), ., ..
板凳
發(fā)表于 2025-3-22 00:50:58 | 只看該作者
Properties of Hamel Basesinearly independent over ?, and . = ?., there exists a Hamel basis . of ?. such that . ? . ? . In particular, every set belonging to any of the classes ., ?, .(.), ., . contains a Hamel basis (Theorems 9.3.6 and 10.7.3 and Exercise 10.7). On the other hand, we have the following . . .(.), ., ..
地板
發(fā)表于 2025-3-22 07:45:21 | 只看該作者
Textbook 2009Latest editionian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death...Be
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Die fahrleistungsabh?ngige LKW-Mautdamental role in the entire book. The mere existence of discontinuous additive functions and discontinuous convex functions depends on that axiom. Therefore the axiom of choice will equally be treated with the remaining axioms of the set theory and no special mention will be made whenever it is used.
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發(fā)表于 2025-3-22 23:45:51 | 只看該作者
Zusammenfassung und Schlu?folgerungen? . is open and non-empty, and f is bounded above on T, then . is continuous in . Are there other sets . with this property? What are possibly weak conditions which assure the continuity of a convex function, or of an additive function? In this and in the next chapter we will deal with such questions.
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