Premium
Some weighted quadrature methods based upon the mean value theorems
Author(s) -
Homeier Herbert H. H.,
Srivastava Hari M.,
MasjedJamei Mohammad,
Moalemi Zahra
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6990
Subject(s) - mathematics , quadrature (astronomy) , clenshaw–curtis quadrature , tanh sinh quadrature , gauss–jacobi quadrature , gauss–kronrod quadrature formula , weighted arithmetic mean , mean value , class (philosophy) , mathematical analysis , gaussian quadrature , nyström method , integral equation , statistics , computer science , engineering , electrical engineering , artificial intelligence
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom