000759985 000__ 04543cam\a2200505Ii\4500 000759985 001__ 759985 000759985 005__ 20230306141943.0 000759985 006__ m\\\\\o\\d\\\\\\\\ 000759985 007__ cr\cn\nnnunnun 000759985 008__ 160811s2016\\\\sw\\\\\\ob\\\\001\0\eng\d 000759985 019__ $$a958450290 000759985 020__ $$a9783319341897$$q(electronic book) 000759985 020__ $$a3319341898$$q(electronic book) 000759985 020__ $$z9783319341880 000759985 035__ $$aSP(OCoLC)ocn956505364 000759985 035__ $$aSP(OCoLC)956505364$$z(OCoLC)958450290 000759985 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dEBLCP$$dIDEBK$$dOCLCQ$$dN$T$$dGW5XE$$dOCLCF$$dYDX 000759985 049__ $$aISEA 000759985 050_4 $$aQA221 000759985 08204 $$a511.4$$223 000759985 1001_ $$aBede, Barnabas,$$eauthor. 000759985 24510 $$aApproximation by max-product type operators$$h[electronic resource] /$$cBarnabás Bede, Lucian Coroianu, Sorin G. Gal. 000759985 264_1 $$aSwitzerland :$$bSpringer,$$c[2016] 000759985 300__ $$a1 online resource 000759985 336__ $$atext$$btxt$$2rdacontent 000759985 337__ $$acomputer$$bc$$2rdamedia 000759985 338__ $$aonline resource$$bcr$$2rdacarrier 000759985 504__ $$aIncludes bibliographical references and index. 000759985 5050_ $$aPreface; Contents; 1 Introduction and Preliminaries; 1.1 Introduction; 1.1.1 Linear Approximation Operators; 1.1.2 Definitions of the Max-Product Operators; 1.1.3 Main Characteristics of the Max-Product Operators; 1.2 Preliminaries; 1.2.1 Notes on Fuzzy Numbers; 1.2.2 Notes on Possibility Theory; 2 Approximation by Max-Product Bernstein Operators; 2.1 Estimates for Positive Functions; 2.2 Improved Estimates for Strictly Positive Functions; 2.3 Saturation Results; 2.4 Localization Results; 2.5 Iterations and Fixed Points; 2.6 Applications to Approximation of Fuzzy Numbers 000759985 5058_ $$a2.6.1 Uniform Approximation and Preservation of Characteristics2.6.2 L1-Approximation; 2.7 Bivariate Max-Product Bernstein Operators; 2.8 Applications to Image Processing; 2.9 Notes; 3 Approximation by Max-Product Favard-Szász-Mirakjan Operators; 3.1 Non-Truncated Operators; 3.2 Truncated Operators; 4 Approximation by Max-Product Baskakov Operators; 4.1 Non-Truncated Operators; 4.2 Truncated Operators; 5 Approximation by Max-Product Bleimann-Butzer-Hahn Operators; 5.1 Quantitative Estimates; 5.2 Shape Preserving Properties; 6 Approximation by Max-Product Meyer-König and Zeller Operators 000759985 5058_ $$a6.1 Estimates and Shape Preserving Properties6.2 Saturation Results; 6.3 Localization Results; 6.4 Note; 7 Approximation by Max-Product Interpolation Operators; 7.1 Max-Product Hermite-Fejér Interpolation on Chebyshev Knots; 7.2 Max-Product Lagrange Interpolation on Chebyshev Knots; 7.3 Modified Max-Product Lagrange Interpolation on General Knots; 7.4 Saturation Results for Equidistant Knots; 7.5 Localization Results for Equidistant Knots; 8 Approximations by Max-Product Sampling Operators; 8.1 Max-Product Generalized Sampling Operators 000759985 5058_ $$a8.2 Max-Product Sampling Operators Based on Sinc-Type Kernels8.3 Saturation and Localization for Truncated Operators; 8.3.1 The Saturation Order for the Tn(M) Operator; 8.3.2 The Saturation Order for the Wn(M) Operator; 8.3.3 Local Inverse Result for the Tn(M) Operator; 8.3.4 Localization and Local Direct Result for the Tn(M) Operator; 8.3.5 Localization, Local Inverse, and Local Direct Results for the Wn(M) Operator; 8.4 Saturation and Localization for Non-Truncated Operators; 8.4.1 Saturation for the Case of Fejér Kernel; 8.4.2 Local Inverse Result for the Case of Fejér Kernel 000759985 5058_ $$a8.4.3 Localization Results in the Case of Fejér Kernel8.4.4 The Case of the Whittaker operator; 8.5 Notes; 9 Global Smoothness Preservation Properties; 9.1 The Case of Max-Product Bernstein operator; 9.2 The Case of Max-Product Hermite-Féjer Operator; 9.3 The Case of Max-Product Lagrange Operator; 10 Possibilistic Approaches of the Max-Product Type Operators; 10.1 Bernstein-Type Approach in Possibility Theory; 10.1.1 Max-Product Operators on C+[0, 1]; 10.1.2 Max-Product Operators on UC+[0, +∞); 10.2 Feller's Scheme in Possibility Theory 000759985 506__ $$aAccess limited to authorized users. 000759985 588__ $$aOnline resource; title from PDF title page (viewed August 22, 2016). 000759985 650_0 $$aApproximation theory. 000759985 650_0 $$aOperator theory. 000759985 650_0 $$aConstructive mathematics. 000759985 650_0 $$aFuzzy mathematics. 000759985 7001_ $$aCoroianu, Lucian,$$eauthor. 000759985 7001_ $$aGal, Sorin G.,$$d1953-$$eauthor. 000759985 852__ $$bebk 000759985 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-34189-7$$zOnline Access$$91397441.1 000759985 909CO $$ooai:library.usi.edu:759985$$pGLOBAL_SET 000759985 980__ $$aEBOOK 000759985 980__ $$aBIB 000759985 982__ $$aEbook 000759985 983__ $$aOnline 000759985 994__ $$a92$$bISE