Title :
Series summation method in HSRK
Author :
Chumachenko, Svetlana ; Malik, Gowhar ; Chattha, Imran Saif
Author_Institution :
Kharkov Nat. Univ. of Radio Electron., Ukraine
Abstract :
The new scientific results of the summation theory of series having practical significance are proposed. The summation method of series in a Hilbert space with a reproducing kernel (HSRK) that allows analytically to obtain alternative representations in the finite form is proposed. The new formulas for calculating the sum of alternating series of a definite type are obtained by the proof of the several theorems.
Keywords :
Hilbert spaces; linear algebra; mathematics computing; series (mathematics); Hilbert space; finite form; mathematics computing; reproducing kernel; series summation method; Digital systems; Electromagnetic diffraction; Electromagnetic scattering; Electromagnetic waveguides; Electronic equipment; Hilbert space; Kernel; Phased arrays; Physics; Planar waveguides;
Conference_Titel :
Modern Problems of Radio Engineering, Telecommunications and Computer Science, 2004. Proceedings of the International Conference
Conference_Location :
Lviv-Slavsko, Ukraine
Print_ISBN :
966-553-380-0
