Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Gauss Quadrature for Integrals and Sums

Version 1 : Received: 11 February 2023 / Approved: 13 February 2023 / Online: 13 February 2023 (15:08:17 CET)
Version 2 : Received: 16 February 2023 / Approved: 17 February 2023 / Online: 17 February 2023 (15:11:43 CET)

A peer-reviewed article of this Preprint also exists.

Alhaidari, A.D. Gauss Quadrature for Integrals and Sums. International Journal of Pure and Applied Mathematics Research 2023, 3, 1–10, doi:10.51483/ijpamr.3.1.2023.1-10. Alhaidari, A.D. Gauss Quadrature for Integrals and Sums. International Journal of Pure and Applied Mathematics Research 2023, 3, 1–10, doi:10.51483/ijpamr.3.1.2023.1-10.

Abstract

Gauss quadrature integral approximation is extended to include integrals with a measure consisting of a continuous as well as a discrete component. That is, we give an approximation for the integral of a function plus its sum over a discrete weighted set.

Keywords

Gauss quadrature; integral approximation; continuous measure; discrete measure; mixed measure; orthogonal polynomials; recursion relation

Subject

Computer Science and Mathematics, Computational Mathematics

Comments (1)

Comment 1
Received: 17 February 2023
Commenter: Abdulaziz Alhaidari
Commenter's Conflict of Interests: Author
Comment: replaced the example in section 4 and the corresponding two tables; Table 3 &4
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