• Title of article

    APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PAˇLTAˇNEA OPERATORS

  • Author/Authors

    KUMAR, ALOK Department of Com. Science - Dev Sanskriti Vishwavidyalaya - Haridwar - Uttarakhand, India , VANDANA Department of Management Studies - Indian Institute of Technology - Madras, Tamil Nadu

  • Pages
    13
  • From page
    936
  • To page
    948
  • Abstract
    The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPˇaltˇanea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modification of these operators to obtain better estimates.
  • Keywords
    Voronovskaja-type theorem , K-functional , Appell polynomials , rate of convergence , modulus of continuity , weighted approximation
  • Journal title
    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Serial Year
    2019
  • Record number

    2587314