scholarly journals A generalized Dunkl type modifications of Phillips operators

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
M. Nasiruzzaman ◽  
Nadeem Rao
Keyword(s):  
Phillips Operators

scholarly journals Dunkl generalization of Phillips operators and approximation in weighted spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
M. Mursaleen ◽  
Md. Nasiruzzaman ◽  
A. Kılıçman ◽  
S. H. Sapar
Keyword(s):  
Weighted Spaces ◽  
Phillips Operators

scholarly journals Approximation results on Dunkl generalization of Phillips operators via q-calculus

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Md. Nasiruzzaman ◽  
Aiman Mukheimer ◽  
M. Mursaleen
Keyword(s):  
Phillips Operators

scholarly journals Approximation of Bounded Continuous Functions by Linear Combinations of Phillips Operators

2014 ◽  
Vol 47 (3) ◽  
Author(s):  
Gancho Tachev
Keyword(s):  
Continuous Functions ◽  
Approximation Properties ◽  
Linear Combinations ◽  
Direct Estimate ◽  
Durrmeyer Operators ◽  
Rate Of Approximation ◽  
Phillips Operators ◽  
Bounded Continuous Functions

AbstractWe study the approximation properties of linear combinations of the so-called Phillips operators, which can be considered as genuine Szász-Mirakjan-Durrmeyer operators. As main result, we prove a direct estimate for the rate of approximation of bounded continuous functions f E C[0,x), measured in C|\[0,x)-norm and thus generalizing the results, proved earlier by Gupta, Agrawal, and Gairola in [3]. Our estimates rely on the recent results, obtained in the joint works of M. Heilmann and the author-[10, 11]

scholarly journals Dunkl Generalization of Phillips Operators and Approximation in Weighted Spaces

2020 ◽  
Author(s):  
M. Mursaleen ◽  
Md Nasiruzzaman ◽  
Adem Kilicman ◽  
Siti Hasana Sapar
Keyword(s):  
Rate Of Convergence ◽  
Error Estimation ◽  
Modulus Of Continuity ◽  
Second Order ◽  
Maximal Functions ◽  
Weighted Spaces ◽  
Phillips Operators ◽  
Convergence Results

Purpose of this article is to introduce a modification of Phillips operators on the interval $\left[ \frac{1}{2},\infty \right) $ via Dunkl generalization. This type of modification enables a better error estimation on the interval $\left[ \frac{1}{2},\infty \right) $ rather than the classical Dunkl Phillips operators on $\left[ 0,\infty \right) $. We discuss the convergence results and obtain the degrees of approximations. Furthermore, we calculate the rate of convergence by means of modulus of continuity, Lipschitz type maximal functions, Peetre's $K$-functional and second order modulus of continuity.

scholarly journals On certain $q$-Phillips operators

2012 ◽  
Vol 42 (4) ◽  
pp. 1291-1312 ◽  
Author(s):  
Nazim Mahmudov ◽  
Vijay Gupta ◽  
Havva Kaffaoğlu
Keyword(s):  
Phillips Operators
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