Geodesic
$L_p$--Approximation by a Linear Combination of Summation-integral Type Operators
Singh , Karunesh Kumar 1 ; Agrawal, P. N.1
1 Department of Mathematics, I. I. T. Roorkee, Roorkee-247667, Uttarakhand, India
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 218-235.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The present paper is a study of some direct results in $L_p$−approximation by a linear combination of summation-integral type operators. We obtain an error estimate in terms of the higher order modulus of smoothness using some properties of the Steklov mean.
DOI : 10.22436/jnsa.004.04.01
Classification : 41A25, 41A27, 41A36
Keywords: Linear positive operators, linear combination, Steklov means, integral modulus of smoothness.

Singh , Karunesh Kumar  1 ; Agrawal, P. N. 1

1 Department of Mathematics, I. I. T. Roorkee, Roorkee-247667, Uttarakhand, India 
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Singh  , Karunesh Kumar ; Agrawal, P. N. \(L_p\)--Approximation by a Linear Combination  of Summation-integral Type Operators. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 218-235. doi : 10.22436/jnsa.004.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.04.01/

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