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Bézier variant of mixed summation-integral type operators

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The present paper deals with Bezier variant of certain mixed summation-integral type operators, having different basis functions in sum-mation and integration. We estimate the rate of convergence for these op-erators Sn,α(f, x), for functions having derivatives of bounded variation.

Abstract

The present paper deals with Bezier variant of certain mixed summation-integral type operators, having different basis functions in sum-mation and integration. We estimate the rate of convergence for these op-erators Sn,α(f, x), for functions having derivatives of bounded variation.

참고문헌 (9)

  1. S. Guo, "Approximation for Baskakov-Kantorovich-Bzier operators in the space Lp[0, ∞)", Taiwanese Journal of Mathematics, 11(1), pp.161~177 (2007)
  2. V. Gupta, "Degree of approximation to function of bounded variation by Bezier variant of MKZ operators", J. Mathematical Analysis and Applications, 289(1), pp.292~300 (2004)
  3. V. Gupta, "On certain hybrid family of summation integral type operators", Journal of Inequalities in Pure and Applied Mathematics, 7(1), pp.1~11 (2006)
  4. N. Ispir, "On the Bézier variant of Srivastava-Gupta operators", Applied Math E Notes, 5, pp.129~137 (2005)
  5. J. Sinha, "Rate of convergence on the mixed summation-integral type operators", General Mathematics, 14(4), pp.29~36 (2006)
  6. H. M. Srivastava, "A certain family of summation integral type operators", Math and Comput. Modelling, 37, pp.1307~1315 (2003)
  7. H. M. Srivastava, "approximation by means of the Szasz-Bzier integral operators", Int. J. Pure Appl. Math., 14(3), pp.283~294 (2004)
  8. X. M. Zeng, "Rate of convergence of Baskakov-Bzier type operators for locally bounded functions", Comput. Math. Appl., 44(10), pp.1445~1453 (2002)
  9. Xiao-Ming Zeng, "Rate of Convergence of the Integral Type Lupas-Bezier Operators", Kyungpook Mathematical Journal, 43(4), pp.593~604 (2003), 경북대학교 자연과학대학 수학과

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