Abstract
AbstractIn this paper we present direct results (upper estimates) for Baskakov operators acting in spaces related with Jacobi-type weights. Our results include and extend some known facts related with this problem. The approach is based in the use of a new pointwise K-functional.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference22 articles.
1. Abel, U., Gupta, V.: An estimate of the rate of convergence of a Bezier variant of the Baskakov–Kantorovich operators for bounded variation functions. Demonstr. Math. 36(1), 123–136 (2003)
2. Becker, M.: Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces. Indiana Univ. Math. J. 27, 127–142 (1978)
3. Bustamante, J., Carrillo-Zentella, A., Quesada, J.M.: Direct and strong converse theorems for a general sequence of positive linear operators. Acta Math. Hung. 136(1–2), 90–106 (2012)
4. Chen, W., Wu, J.: The global approximation theorem for generalized Lupas–Baskakov operators. J. Xiamen Univ. Natur. Sci. 33(5), 571–576 (1994) (in Chinese)
5. Ditzian, Z., Totik, V.: Moduli of Smoothness. Springer, New York (1987)
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