Genuine q-Stancu-Bernstein–Durrmeyer Operators
Symmetry, 2023 In the present paper, we introduce the genuine q-Stancu-Bernstein–Durrmeyer operators Znq,α(f;x). We calculate the moments of these operators, Znq,α(tj;x) for j=0,1,2, which follows a symmetric pattern. We also calculate the second order central moment Znq,α((t−x)2;x).
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Almost everywhere convergence of orthogonal expansions of several variables
, 2003 For weighted $L^1$ space on the unit sphere of $\RR^{d+1}$, in which the weight functions are invariant under finite reflection groups, a maximal function is introduced and used to prove the almost everywhere convergence of orthogonal expansions in $h ...
Xu, Yuan
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About a general property for a class of linear positive operators and applications
Journal of Numerical Analysis and Approximation Theory, 2005 In this paper we demonstrate a general property for a class of linear positive operators. By particularization, we obtain the convergence and the evaluation for the rate of convergence in term of the first modulus of smoothness for the Bernstein ...
Ovidiu T. Pop
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Strong Converse Results for Linking Operators and Convex Functions
Journal of Function Spaces, 2020 We consider a family Bn,ρc of operators which is a link between classical Baskakov operators (for ρ=∞) and their genuine Durrmeyer type modification (for ρ=1).
Ana-Maria Acu +2 more
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The generalization of Voronovskaja's theorem for a class of linear and positive operators
Journal of Numerical Analysis and Approximation Theory, 2005 In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
Ovidiu T. Pop
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Approximation of Durrmeyer Type Operators Depending on Certain Parameters
Abstract and Applied Analysis, 2017 Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators.
Neha Malik +2 more
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Curriculum and assessment tool for less invasive surfactant administration: an international Delphi consensus study. [PDF]
Pediatr Res, 2023 Breindahl N +15 more
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An application of Bernstein-Durrmeyer operators
Analysis in Theory and Applications, 2007 Summary: In the present paper, we find that the Bernstein-Durrmeyer operators, besides their better applications in approximation theory and some other fields, are good tools in constructing translation network. With the help of the de la Vallée properties of the Bernstein-Durrmeyer operators a sequence of translation network operators is constructed ...
Sheng, Baohuai, Zhang, Chunping
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On certain Baskakov-Durrmeyer type operators [PDF]
Surveys in Mathematics and its Applications, 2010 This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness.
Asha Ram Gairola
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Premedication before laryngoscopy in neonates: Evidence-based statement from the French society of neonatology (SFN). [PDF]
Front Pediatr, 2022 Durrmeyer X +18 more
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