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On Some Error Bounds for Milne's Formula in Fractional Calculus.

Authors :
Ali, Muhammad Aamir
Zhang, Zhiyue
Fečkan, Michal
Source :
Mathematics (2227-7390). Jan2023, Vol. 11 Issue 1, p146. 11p.
Publication Year :
2023

Abstract

In this paper, we found the error bounds for one of the open Newton–Cotes formulas, namely Milne's formula for differentiable convex functions in the framework of fractional and classical calculus. We also give some mathematical examples to show that the newly established bounds are valid for Milne's formula. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
1
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
161183846
Full Text :
https://doi.org/10.3390/math11010146