Series summation method in HSRK
Svetlana V. Chumachenko, Ghulam Mohammad Malik, I.S. Chattha · 2004
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.