000			04179nam a22003855i 4500
001			309983
003			MX-SnUAN
005			20160429160335.0
007			cr nn 008mamaa
008			150903s2009 sz | o |||| 0|eng d
020			_a9783764387495 _99783764387495
024	7		_a10.1007/9783764387495 _2doi
035			_avtls000362966
039		9	_a201509030650 _bVLOAD _c201405070337 _dVLOAD _y201402211136 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA299.6-433
100	1		_aKuczma, Marek. _eautor _9350523
245	1	3	_aAn Introduction to the Theory of Functional Equations and Inequalities : _bCauchy’s Equation and Jensen’s Inequality / _cby Marek Kuczma ; edited by Attila Gilányi.
250			_aSecond Edition.
264		1	_aBasel : _bBirkhäuser Basel, _c2009.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPreliminaries -- Set Theory -- Topology -- Measure Theory -- Algebra -- Cauchy’s Functional Equation and Jensen’s Inequality -- Additive Functions and Convex Functions -- Elementary Properties of Convex Functions -- Continuous Convex Functions -- Inequalities -- Boundedness and Continuity of Convex Functions and Additive Functions -- The Classes A, B, ? -- Properties of Hamel Bases -- Further Properties of Additive Functions and Convex Functions -- Related Topics -- Related Equations -- Derivations and Automorphisms -- Convex Functions of Higher Orders -- Subadditive Functions -- Nearly Additive Functions and Nearly Convex Functions -- Extensions of Homomorphisms.
520			_aMarek 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 gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aGilányi, Attila. _eeditor. _9325301
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764387488
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-8749-5 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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