<inline-formula> <graphic file="1029-242X-2008-816367-i1.gif"/></inline-formula>-Parametric Bleimann Butzer and Hahn Operators
<p>Abstract</p> <p>We introduce a new <inline-formula> <graphic file="1029-242X-2008-816367-i2.gif"/></inline-formula>-parametric generalization of Bleimann, Butzer, and Hahn operators in <inline-formula> <graphic file="1029-242X-2008-81636...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2008/816367 |
| Summary: | <p>Abstract</p> <p>We introduce a new <inline-formula> <graphic file="1029-242X-2008-816367-i2.gif"/></inline-formula>-parametric generalization of Bleimann, Butzer, and Hahn operators in <inline-formula> <graphic file="1029-242X-2008-816367-i3.gif"/></inline-formula>. We study some properties of <inline-formula> <graphic file="1029-242X-2008-816367-i4.gif"/></inline-formula>-BBH operators and establish the rate of convergence for <inline-formula> <graphic file="1029-242X-2008-816367-i5.gif"/></inline-formula>-BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for <inline-formula> <graphic file="1029-242X-2008-816367-i6.gif"/></inline-formula>-BBH operators for arbitrary fixed <inline-formula> <graphic file="1029-242X-2008-816367-i7.gif"/></inline-formula>. We give explicit formulas of Voronovskaja-type for the <inline-formula> <graphic file="1029-242X-2008-816367-i8.gif"/></inline-formula>-BBH operators for <inline-formula> <graphic file="1029-242X-2008-816367-i9.gif"/></inline-formula>. Also, we study convergence of the derivative of <inline-formula> <graphic file="1029-242X-2008-816367-i10.gif"/></inline-formula>-BBH operators.</p> |
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| ISSN: | 1025-5834 1029-242X |