Startseite Mathematik Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators
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Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators

  • Mehmet Ali özarslan EMAIL logo und Hüseyin Aktuğlu
Veröffentlicht/Copyright: 26. August 2016
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 66 Heft 3

Abstract

In this paper we introduce Kantorovich variant of the Mittag-Leffler operators including the modified Kantorovich-Szász-Mirakjan operators. We give αβ-statistical approximation theorems for these operators in various function spaces. The results include the statistical, lacunary statistical and λ-statistical cases. Moreover, we compute the rate of convergence in different Lipschitz type spaces.

MSC 2010: Primary 41A25, 41A35, 40G99; Secondary 47A58
Keywords: Kantorovich-Mittag-Leffler operators; Szász-Mirakjan operators; αβ-statistical convergence; λ-statistical convergence; statistical convergence; Lacunary statistical convergence; Lipschitz class functionals; Bernoulli numbers

(Communicated by Gregor Dolinar)

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Received: 2013-7-1
Accepted: 2014-1-18
Published Online: 2016-8-26
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0171
Schlagwörter für diesen Artikel
Kantorovich-Mittag-Leffler operators; Szász-Mirakjan operators; αβ-statistical convergence; λ-statistical convergence; statistical convergence; Lacunary statistical convergence; Lipschitz class functionals; Bernoulli numbers

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  2. On the vertex-to-edge duality between the Cayley graph and the coset geometry of von Dyck groups
  3. Research Article
  4. Characterization of hereditarily reversible posets
  5. Research Article
  6. Families of sets which can be represented as sublattices of the lattice of convex subsets of a linearly ordered set
  7. Research Article
  8. Diophantine equation X4+Y4 = 2(U4 + V4)
  9. Research Article
  10. On the congruent number problem over integers of cyclic number fields
  11. Research Article
  12. On the Diophantine equation x2 + C= yn for C = 2a3b17c and C = 2a13b17c
  13. Research Article
  14. Representations and evaluations of the error term in a certain divisor problem
  15. Research Article
  16. A construction of a Peano curve
  17. Research Article
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  19. Research Article
  20. Products of Świa̧tkowski functions
  21. Research Article
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  23. Research Article
  24. Oscillation results for second-order mixed neutral differential equations with distributed deviating arguments
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