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- Title
Direct and inverse theorems for the Bézier variant of certain summation-integral type operators.
- Authors
Gairola, Asha Ram; Agrawal, P. N.
- Abstract
Recently, the Bézier variant of some well known operators were introduced (cf. [8]-[9])and their rates of convergence for bounded variation functions have been investigated (cf. [2], [10]). In this paper we establish direct and inverse theorems for the Bézier variant of the operators Mn introduced in [5] in terms of Ditzian-Totik modulus of smoothness ωφλ (f, t)(0 ⩽ λ ⩽ 1). These operators include the well known Baskakov-Durrmeyer and Szász-Durrmeyer type operators as special cases.
- Subjects
INVERSION (Geophysics); STOCHASTIC convergence; RIEMANN-Roch theorems; RECIPROCITY theorems; NONLINEAR operators
- Publication
Turkish Journal of Mathematics, 2010, Vol 34, Issue 2, p221
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-0810-7