Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
권호 표지

On the Rate of Convergence of Modified Baskakov Type Operators on Functions of Bounded Variation

  • Deo, Naokant (Department of Applied Mathematics, Delhi College of Engineering)
  • Received : 2004.05.10
  • Published : 2005.12.23
Download PDF
⟨ Previous Next ⟩

Abstract

The aim of this paper is to establish the rate of convergence of Baskakov-Durrmeyer operators for bounded variation function. We have given the better estimate over the results due to Guo ([4]), Anial and Teberska ([1]) and Gupta and Srivastava ([8]).

Keywords

References

  1. Approx. Theory and its appl. v.11 no.2 On the rate of pointwise convergence of the Durrmeyer type operators Aniol, G.;Pych Taberska, P.
  2. Canadian J. Math. v.54 no.5 Convexite, Complete monotonic integralites sur les functions zeta et gamma, sur les functions des operateurs de Baskakov et sur des functions arthematiques Bastien, G.;Rogalski, M.
  3. Publ. Inst. Math. (Belgrade) v.26 no.40 An estimate of the rate of convergence for Fourier series of function of bounded variation Bojanic, R.
  4. J. Approx. Theory v.51 On the rate of convergence of Durrmeyer operator for function of bounded variation Guo, S.
  5. J. Punjab Univ. Math. v.XXX Rate of convergence of modified Baskakov type operators for functions of bounded variation Gupta, V.;Gaur, M.
  6. Demonstratio Math. v.XXX no.2 Rate of convergence of modified Baskakov operators Gupta, V.;Kumar, D.
  7. J. Math. Anal. Appl. v.233 Rate of convergence for the modified Szasz-Mirakyan operators on function of bounded variation Gupta, V.;Pant, R.P.
  8. Kyungpook Math. J. v.36 An estimate of the rate of convergence of modified Baskakov type operators for functions of bounded variation Gupta, V.;Srivastava, G.S.
  9. Bull. Soc. Math. Belg. Ser. B v.42 no.2 On Simultaneous approximation by modified Baskakov operators Sinha, R.P.;Agrawal, P.N.;Gupta, V.