LEADER 02996nam 2200649 450 001 996466578703316 005 20220823112212.0 010 $a3-540-48404-3 024 7 $a10.1007/BFb0091385 035 $a(CKB)1000000000437176 035 $a(SSID)ssj0000326772 035 $a(PQKBManifestationID)12090962 035 $a(PQKBTitleCode)TC0000326772 035 $a(PQKBWorkID)10298209 035 $a(PQKB)10984158 035 $a(DE-He213)978-3-540-48404-2 035 $a(MiAaPQ)EBC5576545 035 $a(Au-PeEL)EBL5576545 035 $a(OCoLC)1066182082 035 $a(MiAaPQ)EBC6819039 035 $a(Au-PeEL)EBL6819039 035 $a(OCoLC)1287131019 035 $a(PPN)155187244 035 $a(EXLCZ)991000000000437176 100 $a20220823d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpaces of approximating functions with Haar-like conditions /$fKazuaki Kitahara 205 $a1st ed. 1994. 210 1$aBerlin :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (VIII, 110 p.) 225 1 $aLecture notes in mathematics ;$v1576 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-57974-5 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- Characterizations of approximating spaces of C[a, b] or C 0(Q) -- Some topics of haar-like spaces of F[a, b] -- Approximation by vector-valued monotone increasing or convex functions -- Approximation by step functions. 330 $aTchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1576. 606 $aChebyshev systems 606 $aApproximation theory 606 $aMathematical analysis 615 0$aChebyshev systems. 615 0$aApproximation theory. 615 0$aMathematical analysis. 676 $a515 700 $aKitahara$b Kazuaki$f1958-$0441110 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466578703316 996 $aSpaces of approximating functions with Haar-like conditions$978733 997 $aUNISA LEADER 03418nam 2200649z- 450 001 9910674007703321 005 20231214133705.0 010 $a3-0365-6148-X 035 $a(CKB)5470000001633490 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/95833 035 $a(EXLCZ)995470000001633490 100 $a20202301d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFuzzy Natural Logic in IFSA-EUSFLAT 2021 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 electronic resource (148 p.) 311 $a3-0365-6147-1 330 $aThe present book contains five papers accepted and published in the Special Issue, ?Fuzzy Natural Logic in IFSA-EUSFLAT 2021?, of the journal Mathematics (MDPI). These papers are extended versions of the contributions presented in the conference ?The 19th World Congress of the International Fuzzy Systems Association and the 12th Conference of the European Society for Fuzzy Logic and Technology jointly with the AGOP, IJCRS, and FQAS conferences?, which took place in Bratislava (Slovakia) from September 19 to September 24, 2021. Fuzzy Natural Logic (FNL) is a system of mathematical fuzzy logic theories that enables us to model natural language terms and rules while accounting for their inherent vagueness and allows us to reason and argue using the tools developed in them. FNL includes, among others, the theory of evaluative linguistic expressions (e.g., small, very large, etc.), the theory of fuzzy and intermediate quantifiers (e.g., most, few, many, etc.), and the theory of fuzzy/linguistic IF?THEN rules and logical inference. The papers in this Special Issue use the various aspects and concepts of FNL mentioned above and apply them to a wide range of problems both theoretically and practically oriented. This book will be of interest for researchers working in the areas of fuzzy logic, applied linguistics, generalized quantifiers, and their applications. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $afuzzy Peterson's syllogisms 610 $afuzzy intermediate quantifiers 610 $agraded Peterson's cube of opposition 610 $alinguistic universals 610 $alinguistic complexity 610 $aevaluative expressions 610 $afuzzy grammar 610 $alinguistic gradience 610 $alinguistic constraints 610 $agrammaticality 610 $asentiment analysis 610 $acloseness 610 $acloseness matrix 610 $acloseness space 610 $afunction similarity 610 $afuzzy partition 610 $afuzzy transform 610 $apreimage problem 610 $asingular value decomposition 610 $aevolving fuzzy neural network 610 $aor-neuron 610 $aauction fraud 610 $aknowledge extraction 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aDvorak$b Antonin$4edt$0621317 702 $aNova?k$b Vile?m$4edt 702 $aDvorak$b Antonin$4oth 702 $aNova?k$b Vile?m$4oth 906 $aBOOK 912 $a9910674007703321 996 $aFuzzy Natural Logic in IFSA-EUSFLAT 2021$93059174 997 $aUNINA