Homeier, Herbert H. H. and Srivastava, Hari M. and Masjed-Jamei, Mohammad and Moalemi, Zahra (2021) Some weighted quadrature methods based upon the mean value theorems. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 44 (5). pp. 3840-3856. ISSN 0170-4214, 1099-1476
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In this paper, a class of weighted quadrature methods is introduced for smooth functions based upon the use of the mean value theorems. These new quadrature rules are also treated in a systematic approach involving formal series expansion. The convergence analysis of the proposed method is studied here for both the non-weighted and the weighted cases. Some potential areas and directions for extensions and applications of the results, which are presented in this paper, are also indicated.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Bernoulli; Euler; and Genocchi polynomials; convergence analysis; interpolatory quadrature formulas; Lagrange polynomial interpolant; mean value theorems; Newton– Cotes formula; ordinary differential equations (ODEs); quadrature rules; series expansions; weighted and non‐ weighted cases; weight functions |
| Subjects: | 500 Science > 510 Mathematics 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Petra Gürster |
| Date Deposited: | 21 Apr 2021 06:43 |
| Last Modified: | 21 Apr 2021 06:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43397 |
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