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122 p, 1.2 MB Liouville-Weyl derivatives, best approximations, and moduli of smoothness / Jumabayeva, Ainur, autor. ; Tikhonov, Sergey, 1976- supervisor acadèmic. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques.
En aquest treball estudiem les propietats d'aproximació i de suavitat de les derivades de Liouville-Weyl generalitzades. Els tres problemes que tractem són els següents: Primer, obtenim fites superiors i inferiors per a les normes i millors aproximacions de les derivades de Liouville-Weyl en termes de les funcions en sí mateixes. [...]
This work is devoted to the study of approximation and smoothness properties of the generalized Liouville-Weyl derivatives. The main three problems we address are the following. First, we obtain new upper and lower estimates of norms and best approximations of the generalized Liouville-Weyl derivatives in terms of the best approximations of functions themselves. [...]

[Barcelona] : Universitat Autònoma de Barcelona, 2018.  

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