Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 9 Issue 2
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- Pages.1-15
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- 2005
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
NEW TAYLOR-LIKE EXPANSIONS FOR FUNCTIONS OF TWO VARIABLES AND ESTIMATES OF THEIR REMAINDERS
- Dragomir, S.S. (SCHOOL OF COMPUTER SCIENCE AND MATHEMATICS, VICTORIA UNIVERSITY OF TECHNOLOGY) ;
- Qi, Feng (DEPT. OF MATHEMATICS, JIAOZUO INSTITUTE OF TECHNOLOGY) ;
- Hanna, G. (SCHOOL OF COMPUTER SCIENCE AND MATHEMATICS, VICTORIA UNIVERSITY OF TECHNOLOGY) ;
- Cerone, P. (SCHOOL OF COMPUTER SCIENCE AND MATHEMATICS, VICTORIA UNIVERSITY OF TECHNOLOGY)
- Published : 2005.12.25
Abstract
In this article, a generalisation of Sard's inequality for Appell polynomials is obtained. Estimates for the remainder are also provided.
Keywords
- Appell polynomials;
- Bernoulli polynomials;
- Euler polynomials;
- generalized Taylor's formula;
- Taylor-like expansion;
- double integral;
- remainder