Some weighted quadrature methods based upon the mean value theorems
Herbert H. H. HomeierInstitut für Physikalische und Theoretische Chemie Universität Regensburg Regenburg GermanyH. M. SrivastavaDepartment of Mathematics and Informatics Azerbaijan University Baku AzerbaijanMohammad Masjed‐JameiDepartment of Mathematics K. N. Toosi University of Technology Tehran IranZahra MoalemiDepartment of Mathematics K. N. Toosi University of Technology Tehran Iran
2020en
ABI
Annotatsiya
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.
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