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Rate of convergence for generalized Szasz operators with derivatives of bounded variation

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The present paper deals with the general integral modi…-cation of the Szasz-Mirakyan operators having the weight functions ofgeneral Baskakov basis functions.We estimate the rate of convergencefor functions having derivatives of bounded variation.

Abstract

The present paper deals with the general integral modi…-cation of the Szasz-Mirakyan operators having the weight functions ofgeneral Baskakov basis functions.We estimate the rate of convergencefor functions having derivatives of bounded variation.

참고문헌 (6)

  1. S. M. Mazhar, "Approximation by modi…ed Szasz operators", Acta Sci. Math, 49, pp.257~269 (1985)
  2. V. Gupta, "Simultaneous approximation by Szasz-Durrmeyer operators", The Math. Student, 64(1-4), pp.27~36 (1995)
  3. V. Gupta, "Direct results on certain Szasz-Mirakyan operators", Appl. Math. and Comp., 195, pp.230~239 (2008)
  4. V. Gupta, "On a hybrid family of summation integral type operators", J. Inequal. Pure and Appl. Math., 7(1), pp.23~ (2006)
  5. J. Sinha, "Singh, Rate of convergence on the mixed summation integral type operators", General Mathematics, 14(4), pp.29~36 (2006)
  6. X. M. Zeng, "Pointwise approximation by the modi…ed Szasz-Mirakyan operators", J. Computational Analysis and Applications, 9(4), pp.421~430 (2007)

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