Title :
On a Kind of Birkhoff Type 2-Periodic Trigonometric and Paratrigonometric Interpolation
Author :
Guoxiang, Jin ; Li, Zhang ; Yong, Ding
Author_Institution :
Sch. of Comput. Sci. & Eng., Wuhan Inst. of Technol., Wuhan, China
Abstract :
In this paper, a kind of Birkhoff type 2-Periodic trigonometric and Para trigonometric interpolation problems with equidistant nodes for 2π-periodic and antiperiodic functions are discussed. We give the necessary and sufficient conditions for the solvable case of these interpolation problems. The expressions of the interpolation basis are constructed.
Keywords :
interpolation; 2π antiperiodic functions; 2π periodic functions; Birkhoff type 2-periodic paratrigonometric interpolation; Birkhoff type 2-periodic trigonometric interpolation; equidistant nodes; Educational institutions; Indexes; Information services; Interpolation; Polynomials; 2ƒà-antiperiodic functions; 2-Periodic; Birkhoff type paratrigonometric interpolation; Birkhoff type trigonometric interpolation; Paratrigonometric polynomial;
Conference_Titel :
Internet Computing & Information Services (ICICIS), 2011 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4577-1561-7
DOI :
10.1109/ICICIS.2011.97
