scholarly journals A generalization of Bernstein-Durrmeyer operators on hypercubes by means of an arbitrary measure

2019 ◽  
Vol 64 (2) ◽  
pp. 239-252
Author(s):  
Mirella Cappelletti Montano ◽  
◽  
Vita Leonessa ◽  
◽  
Keyword(s):  
Durrmeyer Operators ◽  
Arbitrary Measure

scholarly journals On lp-convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure

2014 ◽  
Vol 96 (110) ◽  
pp. 23-29 ◽  
Author(s):  
Elena Berdysheva ◽  
Bing-Zheng Li
Keyword(s):  
Rate Of Convergence ◽  
Lp Spaces ◽  
Durrmeyer Operators ◽  
Arbitrary Measure

We consider Bernstein-Durrmeyer operators with respect to arbitrary measure on the simplex in the space Rd. We obtain estimates for rate of convergence in the corresponding weighted Lp-spaces, 1 ? p < ?.

scholarly journals Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators

2017 ◽  
Vol 50 (1) ◽  
pp. 119-129 ◽  
Author(s):  
Tuncer Acar
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
General Class ◽  
Durrmeyer Operators ◽  
Special Cases ◽  
Derivatives Of

Abstract The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz. Szász-Mirakyan-Durrmeyer operators, Baskakov-Durrmeyer operators. Herewe estimate the rate of convergence of Ibragimov-Gadjiev-Durrmeyer operators for functions having derivatives of bounded variation.

scholarly journals GBS Operators of Bivariate Durrmeyer Operators on Simplex

2021 ◽  
pp. 108-114
Author(s):  
Harun ÇİÇEK ◽  
Aydın İZGİ ◽  
Mehmet AYHAN
Keyword(s):  
Durrmeyer Operators ◽  
Gbs Operators
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