Generalizations of Guessab-Schmeisser formula via Fink type identity with applications to quadrature rules

Autor:	Alomari, Mohammad W.
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs 41A80 65D30 65D32 26D15 26D10
Druh dokumentu:	Working Paper
Popis:	In this work, an expansion of Guessab-Schmeisser two points formula for n-times differentiable functions via Fink type identity is established. Generalization of the main result for harmonic sequence of polynomials is established. Several bounds of the presented results are proved. As applications, some quadrature rules are elaborated and discussed. Error bounds of the presented quadrature rules via Chebyshev-Gruss type inequalities are also provided. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.01535 Zobrazit plný text záznamu View this record from Arxiv