On converse approximation theorems |
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Authors: | Zoltán Finta |
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Institution: | Babe?-Bolyai University, Department of Mathematics, 1 M. Kog?lniceanu st., 400084 Cluj-Napoca, Romania |
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Abstract: | We establish sufficient conditions for obtaining a strong converse inequality of type B in terms of a unified K-functional for a sequence of linear positive operators (Ln)n?1, . This K-functional, introduced by Guo et al. (see, e.g., S. Guo, Q. Qi, Strong converse inequalities for Baskakov operators, J. Approx. Theory 124 (2003) 219-231]), will be considered for more general weight functions. As applications we investigate the situation for Baskakov type operators and Szász-Mirakjan type operators. |
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Keywords: | K-functional Inverse theorems Baskakov type operators Szá sz-Mirakjan type operators |
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