Direct Estimates for Certain Integral Type Operators

Authors

  • Alok Kumar
  • Dipti Tapiawala
  • Lakshmi Narayan Mishra Dr. Lakshmi Narayan Mishra, Assistant Professor, Department of Mathematics, VIT University, Vellore 632 014, Tamil Nadu, India Mb. No:+91 98383 75431, 8511840947 Google Scholar Citations URL: https://scholar.google.co.in/citations?user=GAhz1AYAAAAJ&hl=en http://orcid.org/0000-0001-7774-7290

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i4.3305

Abstract

In this note, we study approximation properties of a family of linear positive operators and establish asymptotic formula, rate of convergence, local approximation theorem, global approximation theorem, weighted approximation theorem, and better approximation for this family of linear positive operators.

Author Biography

  • Lakshmi Narayan Mishra, Dr. Lakshmi Narayan Mishra, Assistant Professor, Department of Mathematics, VIT University, Vellore 632 014, Tamil Nadu, India Mb. No:+91 98383 75431, 8511840947 Google Scholar Citations URL: https://scholar.google.co.in/citations?user=GAhz1AYAAAAJ&hl=en
    Dr. Lakshmi Narayan Mishra,
    Assistant Professor,Department of Mathematics,VIT University,  Vellore 632 014, Tamil Nadu, India Mb. No:+91 98383 75431, 8511840947Google Scholar Citations URL: https://scholar.google.co.in/citations?user=GAhz1AYAAAAJ&hl=en

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Published

2018-10-24

Issue

Vol. 11 No. 4: (October 2018)

Section

Approximation Theory

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How to Cite

Direct Estimates for Certain Integral Type Operators. (2018). European Journal of Pure and Applied Mathematics, 11(4), 958-975. https://doi.org/10.29020/nybg.ejpam.v11i4.3305