A certain family of mixed summation-integral type operators

In the present paper, we study the mixed summation integral type operators having different weight functions, we obtain the rate of point wise convergence, an asymptotic formula of Voronovskaja type and some local direct results in terms of modulus of smoothness and modulus of continuity in ordinary...

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Bibliographic Details
Published in:	Mathematical and computer modelling Vol. 42; no. 1; pp. 181 - 191
Main Authors:	Gupta, V., Mohapatra, R.N., Finta, Z.
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01-07-2005 Elsevier Science
Subjects:	Approximations and expansions Exact sciences and technology Exponential type operators Kfunctional Linear positive operators Mathematical analysis Mathematics Modulus of smoothness Numerical analysis Numerical analysis. Scientific computation Numerical approximation Operator theory Rate of convergence Sciences and techniques of general use Linear positive operators Rate of convergence Exponential type operators Kfunctional Modulus of smoothness Integral operator Convergence acceleration Asymptotic convergence Linear operator Point of asymptotics Numerical approximation Numerical analysis Scientific computation K- functional Applied mathematics Weight function Convergence rate Summation Positive operator
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Summary:	In the present paper, we study the mixed summation integral type operators having different weight functions, we obtain the rate of point wise convergence, an asymptotic formula of Voronovskaja type and some local direct results in terms of modulus of smoothness and modulus of continuity in ordinary and simultaneous approximation.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0895-7177 1872-9479
DOI:	10.1016/j.mcm.2004.02.042