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DIVIDED DIFFERENCES AND POLYNOMIAL CONVERGENCES
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 Title & Authors
DIVIDED DIFFERENCES AND POLYNOMIAL CONVERGENCES
PARK, SUK BONG; YOON, GANG JOON; LEE, SEOK-MIN;
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 Abstract
The continuous analysis, such as smoothness and uniform convergence, for polynomials and polynomial-like functions using differential operators have been studied considerably, parallel to the study of discrete analysis for these functions, using difference operators. In this work, for the difference operator with size h > 0, we verify that for an integer and a strictly decreasing sequence converging to zero, a continuous function f(x) satisfying $${\nabla}_{h_n}^{m+1}f(kh_n)
 Keywords
Convergence;Polynomial;Divided Difference Equation;Subdivision Scheme;
 Language
English
 Cited by
 References
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