\(L_p\)--Approximation by a Linear Combination of Summation-integral Type Operators
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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.
Share and Cite
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
Keywords
- Linear positive operators
- linear combination
- Steklov means
- integral modulus of smoothness.
MSC
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