Local Approximation Results for Stancu Variant of Modified Szasz-Mirakjan Operators

Authors

  • Ankita R. Devdhara
  • Vishnu Narayan Mishra Vishnu Narayan Mishra Associate Professor of Mathematics, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India Mb. No.: +91 9913387604, Website: http://igntu.ac.in/dept_Math.htm http://orcid.org/0000-0002-2159-7710

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i2.3214

Abstract

The aim of this paper is to obtain local approximation results for Stancu type generalization of modified Sz$\acute{a}$sz-Mirakjan operators. First, we calculate moments of the operators. Some direct results of the operators are investigated. The rate of convergence of the operators is evaluated. In last section of the paper, the Voronovskaya result is obtained.

Author Biography

  • Vishnu Narayan Mishra, Vishnu Narayan Mishra Associate Professor of Mathematics, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India Mb. No.: +91 9913387604, Website: http://igntu.ac.in/dept_Math.htm

    Vishnu Narayan Mishra
    Associate Professor of Mathematics,
    Department of Mathematics,
    Indira Gandhi National Tribal University,
    Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
    Mb. No.: +91 9913387604,
    Website: http://igntu.ac.in/dept_Math.htm

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Published

2018-04-27

Issue

Vol. 11 No. 2: (April 2018)

Section

Mathematical Physics

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How to Cite

Local Approximation Results for Stancu Variant of Modified Szasz-Mirakjan Operators. (2018). European Journal of Pure and Applied Mathematics, 11(2), 400-409. https://doi.org/10.29020/nybg.ejpam.v11i2.3214