03580nam 22007334a 450 991045175140332120210524204845.01-282-19474-797866121947403-11-019927-010.1515/9783110199277(CKB)1000000000520522(EBL)325662(OCoLC)232160035(SSID)ssj0000211921(PQKBManifestationID)11201635(PQKBTitleCode)TC0000211921(PQKBWorkID)10135758(PQKB)11104451(MiAaPQ)EBC325662(DE-599)GBV587950498(DE-B1597)32447(OCoLC)979837968(DE-B1597)9783110199277(PPN)175560609(PPN)140518568(Au-PeEL)EBL325662(CaPaEBR)ebr10194835(CaONFJC)MIL219474(OCoLC)935267380(EXLCZ)99100000000052052220030307d2003 uy 0engurun#---|u||utxtccrNonlinear integral operators and applications[electronic resource] /Carlo Bardaro, Julian Musielak, Gianluca VintiBerlin ;New York Walter de Gruyter20031 online resource (213 p.)De Gruyter series in nonlinear analysis and applications,0941-813X ;9Description based upon print version of record.3-11-017551-7 Includes bibliographical references (p. [183]-198) and index.Front matter --Contents --Chapter 1. Kernel functionals and modular spaces --Chapter 2. Absolutely continuous modulars and moduli of continuity --Chapter 3. Approximation by convolution type operators --Chapter 4. Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators --Chapter 5. Summability methods by convolution-type operators --Chapter 6. Nonlinear integral operators in the space BVϕ --Chapter 7. Application to nonlinear integral equations --Chapter 8. Uniform approximation by sampling type operators. Applications in signal analysis --Chapter 9. Modular approximation by sampling type operators --Back matterIn 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This book repGruyter series in nonlinear analysis and applications ;9.Integral operatorsNonlinear operatorsElectronic books.Integral operators.Nonlinear operators.515/.723CC 2600rvkBardaro Carlo299269Musielak Julian1928-48429Vinti Gianluca299270MiAaPQMiAaPQMiAaPQBOOK9910451751403321Nonlinear integral operators and applications730083UNINA