LEADER 02803nam 22004935 450 001 9910483391803321 005 20251113184307.0 010 $a3-030-48412-2 024 7 $a10.1007/978-3-030-48412-5 035 $a(CKB)4100000011392593 035 $a(DE-He213)978-3-030-48412-5 035 $a(MiAaPQ)EBC6310350 035 $a(PPN)258303646 035 $a(EXLCZ)994100000011392593 100 $a20200818d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopics in Uniform Approximation of Continuous Functions /$fby Ileana Bucur, Gavriil Paltineanu 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020. 215 $a1 online resource (X, 140 p. 1 illus. in color.) 225 1 $aFrontiers in Mathematics,$x1660-8054 311 08$a3-030-48411-4 320 $aIncludes bibliographical references and index. 327 $aApproximation of continuous functions on compact spaces -- Approximation of continuous functions on locally compact spaces -- Approximation of continuous differentiable functions -- Approximations theorems in locally convex lattices. 330 $aThis book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass? theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included. In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type. The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions. 410 0$aFrontiers in Mathematics,$x1660-8054 606 $aFunctional analysis 606 $aFunctional Analysis 615 0$aFunctional analysis. 615 14$aFunctional Analysis. 676 $a515.222 700 $aBucur$b Ileana$4aut$4http://id.loc.gov/vocabulary/relators/aut$01002775 702 $aPaltineanu$b Gavriil$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483391803321 996 $aTopics in Uniform Approximation of Continuous Functions$92301697 997 $aUNINA