The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types: Bernstein, Bernstein Faber, Bernstein Butzer, q-Bernstein, Bernstein Stancu, Bernstein Kantorovich, Favard Sz�sz Mirakjan, Baskakov and Bal�zs Szabados.The second main objective is to provide a study of the approximation and geometric properties of several types of complex convolutions: the de la Vallee Poussin, Fejer, Riesz-Zygmund, Jackson, Rogosinski, Picard, Poisson Cauchy, Gauss Weierstrass, q-Picard, q-Gauss Weierstrass, Post Widder, rotation-invariant, Sikkema and nonlinear. Several applications to partial differential equations (PDE) also are presented.Many of the open problems encountered in the studies are proposed at the end of each chapter. For further research, the monograph suggests and advocates similar studies for other complex Bernstein-type operators, and for other linear and nonlinear convolutions.

Recensione:

The material of this book is technical, but the author has organized it very clearly. The book is well written and readable. The author has made an attempt to present the material in an integrated and self-contained fashion and, in my opinion, he has been very successful. The book is addressed to researchers in the fields of complex approximation of functions and its applications, mathematical analysis and numerical analysis. Since most of the proofs use elementary complex analysis, it is accessible to graduate students and suitable for graduate courses in the above fields. --Mathematical Reviews

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Selling quality used books for over 20 years

Visita la pagina della libreria

Informazioni sull?azienda del venditore

Suffolk Book Center Inc
7 canal street, center moriches, NY, 11934, U.S.A.

Condizioni di vendita:

We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.

Condizioni di spedizione:

Metodi di pagamento
accettati dalla libreria

Aggiungi ai desiderata

Articoli correlati a APPROXIMATION BY COMPLEX BERNSTEIN AND CONVOLUTION...

APPROXIMATION BY COMPLEX BERNSTEIN AND CONVOLUTION TYPE OPERATORS (Concrete and Applicable Mathematics)

Gal, Sorin G

Usato - Rilegato

Informazioni sull?azienda del venditore