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Volume 32, Issue 3
On Approximation Properties of Modified Szász-Mirakyan Operators via Jain Operators

P. Patel & V. N. Mishra

DOI: 10.4208/ata.2016.v32.n3.3

Anal. Theory Appl., 32 (2016), pp. 232-241.

Published online: 2016-07

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  • Abstract

In the present manuscript, we propose the modification of Jain operators which the generalization of Szász-Mirakyan operators. These new class operators are linear positive operators of discrete type depending on a real parameters. We give theorem of degree of approximation and the Voronovskaya asymptotic formula.

  • Keywords

Positive linear operators, Jain operators, Szász-Mirakyan operator.

  • AMS Subject Headings

41A25, 41A30, 41A36

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-232, author = {P. Patel and V. N. Mishra}, title = {On Approximation Properties of Modified Szász-Mirakyan Operators via Jain Operators}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {3}, pages = {232--241}, abstract = {

In the present manuscript, we propose the modification of Jain operators which the generalization of Szász-Mirakyan operators. These new class operators are linear positive operators of discrete type depending on a real parameters. We give theorem of degree of approximation and the Voronovskaya asymptotic formula.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n3.3}, url = {http://global-sci.org/intro/article_detail/ata/4668.html} }
TY - JOUR T1 - On Approximation Properties of Modified Szász-Mirakyan Operators via Jain Operators AU - P. Patel & V. N. Mishra JO - Analysis in Theory and Applications VL - 3 SP - 232 EP - 241 PY - 2016 DA - 2016/07 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n3.3 UR - https://global-sci.org/intro/article_detail/ata/4668.html KW - Positive linear operators, Jain operators, Szász-Mirakyan operator. AB -

In the present manuscript, we propose the modification of Jain operators which the generalization of Szász-Mirakyan operators. These new class operators are linear positive operators of discrete type depending on a real parameters. We give theorem of degree of approximation and the Voronovskaya asymptotic formula.

P. Patel and V. N. Mishra. (2016). On Approximation Properties of Modified Szász-Mirakyan Operators via Jain Operators. Analysis in Theory and Applications. 32 (3). 232-241. doi:10.4208/ata.2016.v32.n3.3
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