Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

Hee Sun Jung; Ryozi Sakai

doi:10.1155/2012/546784

Journal of Applied Mathematics (Jan 2012)

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

Hee Sun Jung,
Ryozi Sakai

Affiliations

Hee Sun Jung: Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea
Ryozi Sakai: Department of Mathematics, Meijo University, Nagoya 468-8502, Japan

DOI: https://doi.org/10.1155/2012/546784
Journal volume & issue: Vol. 2012

Abstract

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Lupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [0,∞).

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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