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Approximation of positive functions by linear positive polynomial operators

2012
The class of continuous 2π-periodical functions f(x) which satisfy the inequality \( |f(x+h)+f(x-h)-2f(x)|\leq 2|h|^\alpha \,\,\,\,\, 0 < \alpha < 2 \)is denoted by Zα.
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On the Approximation by Linear Positive Operators

1970
This paper is concerned with some properties of linear positive operators which are in analogy with the well-known Bernstein operator. Let ℑ j (I j ), j = 1,2, denote two linear spaces of real functions defined on the sets I j , j = 1,2, of points of the real axis. Let L n :ℑ 1 (I 1 ) →ℑ 2 (I 2 ), n = 1,2,..., be a sequence of linear positive operators
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Symmetric Properties of λ-Szász Operators Coupled with Generalized Beta Functions and Approximation Theory

Symmetry
This research work focuses on λ-Szász–Mirakjan operators coupling generalized beta function. The kernel functions used in λ-Szász operators often possess even or odd symmetry.
Nadeem Rao, M. Farid, Mohd Raiz
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APPROXIMATION BY LINEAR POSITIVE OPERATORS VIA SUMMABILITY METHOD

International Conference on Modern Problems of Mathematics, Mechanics and their Applications
Abstract. In this presentation, we investigate Korovkin type approximation properties of the some Bernstein type operators constructed via (p,q) calculus. We mention about power series statistical convergence of these operators and calculate rate of the convergence by means of modulus of continuity. Additionally, we provide examples for comparison with
Dilek Söylemez, Mehmet Ünver
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Inverse Theorems for Approximation by Positive Linear Operators

1973
We are interested in studying the relation between the smoothness of a function and its degree of approximation by means of a sequence (Ln) of positive linear operators defined on a space of continuous functions C[a, b] or C*[-π, π]. Our main interest is in what inferences can be made about the smoothness of a function f when we assume something about ...
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Moments of Linear Positive Operators and Approximation

SpringerBriefs in Mathematics, 2019
Vijay Gupta, M. Rassias
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