\(L_p\)--Approximation by a Linear Combination of Summation-integral Type Operators


Authors

Karunesh Kumar Singh - Department of Mathematics, I. I. T. Roorkee, Roorkee-247667, Uttarakhand, India. P. N. Agrawal - Department of Mathematics, I. I. T. Roorkee, Roorkee-247667, Uttarakhand, India.


Abstract

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.


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ISRP Style

Karunesh Kumar Singh, P. N. Agrawal, \(L_p\)--Approximation by a Linear Combination of Summation-integral Type Operators, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 4, 218--235

AMA Style

Singh Karunesh Kumar, Agrawal P. N., \(L_p\)--Approximation by a Linear Combination of Summation-integral Type Operators. J. Nonlinear Sci. Appl. (2011); 4(4):218--235

Chicago/Turabian Style

Singh , Karunesh Kumar, Agrawal, P. N.. "\(L_p\)--Approximation by a Linear Combination of Summation-integral Type Operators." Journal of Nonlinear Sciences and Applications, 4, no. 4 (2011): 218--235


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