Quantitative Estimates for GBS Operators of Chlodowsky-Szasz Type


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FILOMAT, vol.31, no.5, pp.1175-1184, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1705175i
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1175-1184
  • Keywords: B-continuous, B-differentiable, GBS operators, Chlodowsky and Szasz type operators, mixed K-functional, modulus of smoothness, K-FUNCTIONALS, APPROXIMATION, SMOOTHNESS, SPACES
  • Gazi University Affiliated: Yes

Abstract

In this study we construct the GBS (Generalized Boolean Sum) operators associated with combination of Chlodowsky and modified Szasz operators and estimate the degree of approximation for these operators in terms of the mixed (Bogel) modulus of smoothness. Furthermore, we improve the measure of smoothness by the mixed K-functional.