p- approximation by iterates of certain summation-integral type operators"> p- approximation; modulus of smoothness; Steklov means.">

Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 11 (2016), 141 -- 155

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Karunesh Kumar Singh and P. N. Agrawal

Abstract. The present paper is a study of Lp- approximation in terms of higher order integral modulus of smoothness for an iterative combination due to Micchelli, of certain summation-integral type operators using the device of Steklov means.

2010 Mathematics Subject Classification: 41A30; 41A35.
Keywords: Iterative combination; Lp- approximation; modulus of smoothness; Steklov means.

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Karunesh Kumar Singh
Department of Mathematics,
IIT Roorkee,
Roorkee-247667 (Uttarakhand), India.
e-mail: kksiitr.singh@gmail.com

P. N. Agrawal
Department of Mathematics,
IIT Roorkee,
Roorkee-247667 (Uttarakhand), India.
e-mail: pna_iitr@yahoo.co.in