Approximation by multivariate Baskakov–Durrmeyer operators in Orlicz spaces
Journal of Inequalities and Applications, 2023 Employing some properties of multivariate Baskakov–Durrmeyer operators and utilizing modified K-functional and a decomposition technique, the authors obtain the direct theorem and weak type inverse theorem in the Orlicz spaces.
Ling-Xiong Han, Yu-Mei Bai, Feng Qi
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On approximation properties of some non-positive Bernstein-Durrmeyer type operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
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The q-Chlodowsky and q-Szasz-Durrmeyer Hybrid Operators on Weighted Spaces
Journal of Mathematics, 2020 The main aim of this article is to introduce a new type of q-Chlodowsky and q-Szasz-Durrmeyer hybrid operators on weighted spaces. To this end, we give approximation properties of the modified new q-Hybrid operators.
Harun Çiçek, Aydın İzgi
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Blending type approximation by τ-Baskakov-Durrmeyer type hybrid operators
Advances in Difference Equations, 2020 In this work, we construct a Durrmeyer type modification of the τ-Baskakov operators depends on two parameters α > 0 $\alpha >0$ and τ ∈ [ 0 , 1 ] $\tau \in [0,1]$ .
S. A. Mohiuddine +3 more
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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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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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Modified Bernstein Polynomials and Jacobi Polynomials in q-Calculus
, 2004 We introduce here a generalization of the modified Bernstein polynomials for Jacobi weights using the $q$-Bernstein basis proposed by G.M. Phillips to generalize classical Bernstein Polynomials.
Derriennic, Marie-Madeleine
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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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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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