Approximating classes of functions defined by a generalised modulus of smoothness

Autor:	Berisha, Faton M., Berisha, Nimete Sh.
Rok vydání:	2014
Předmět:	Mathematics - Functional Analysis Primary 41A35 Secondary 41A50 42A16
Zdroj:	Mathematical Sciences And Applications E-Notes (MSAEN) 1 (2013), no. 2, 84--89
Druh dokumentu:	Working Paper
Popis:	In the present paper, we use a generalised shift operator in order to define a generalised modulus of smoothness. By its means, we define generalised Lipschitz classes of functions, and we give their constructive characteristics. Specifically, we prove certain direct and inverse types theorems in approximation theory for best approximation by algebraic polynomials. Comment: 6 pages, Communicated in the 1st International Eurasian Conference on Mathematics Sciences and Applications (IECMSA), Prishtin\"e, Kosovo, 2012
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.6593 Zobrazit plný text záznamu View this record from Arxiv