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.