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Approximation by bivariate (p,q)-Baskakov–Kantorovich operators

  • Hatice Gul Ince Ilarslan and Tuncer Acar EMAIL logo
Published/Copyright: November 9, 2016
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Georgian Mathematical Journal
From the journal Georgian Mathematical Journal Volume 25 Issue 3

Abstract

The present paper deals with the bivariate (p,q)-Baskakov–Kantorovich operators and their approximation properties. First we construct the operators and obtain some auxiliary results such as calculations of moments and central moments, etc. Our main results consist of uniform convergence of the operators via the Korovkin theorem and rate of convergence in terms of modulus of continuity.

Keywords: weighted approximation; rate of convergence
MSC 2010: 41A25

References

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Received: 2016-05-10
Accepted: 2016-09-21
Published Online: 2016-11-09
Published in Print: 2018-09-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Semilinear fractional order integro-differential inclusions with infinite delay
  3. Quasi-nilpotent perturbations of the generalized Kato spectrum
  4. Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
  5. Relations between BV*(q;α) and Λ*BVp classes of functions
  6. On the constancy of signs and order of magnitude of Fourier–Haar coefficients
  7. On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
  8. Optimal control problem for the equation of vibrations of an elastic plate
  9. Generalized Hausdorff capacities and their applications
  10. Approximation by bivariate (p,q)-Baskakov–Kantorovich operators
  11. A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field
  12. A note on the Borel types of some small sets
  13. On some boundary value problems for the heat equation in a non-regular type of a prism of ℝN+1
  14. Some weighted integral inequalities for differentiable h-preinvex functions
  15. Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras
  16. On Baer invariants of pairs of groups
  17. The Arzelà–Ascoli theorem by means of ideal convergence
  18. Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
https://doi.org/10.1515/gmj-2016-0057
Keywords for this article
weighted approximation; rate of convergence

Articles in the same Issue

  1. Frontmatter
  2. Semilinear fractional order integro-differential inclusions with infinite delay
  3. Quasi-nilpotent perturbations of the generalized Kato spectrum
  4. Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
  5. Relations between BV*(q;α) and Λ*BVp classes of functions
  6. On the constancy of signs and order of magnitude of Fourier–Haar coefficients
  7. On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
  8. Optimal control problem for the equation of vibrations of an elastic plate
  9. Generalized Hausdorff capacities and their applications
  10. Approximation by bivariate (p,q)-Baskakov–Kantorovich operators
  11. A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field
  12. A note on the Borel types of some small sets
  13. On some boundary value problems for the heat equation in a non-regular type of a prism of ℝN+1
  14. Some weighted integral inequalities for differentiable h-preinvex functions
  15. Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras
  16. On Baer invariants of pairs of groups
  17. The Arzelà–Ascoli theorem by means of ideal convergence
  18. Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
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