On better approximation order for the max-product Meyer-König and Zeller operator
Bede et al. (B. Bede, L. Coroianu, and S. G. Gal, Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind, Numer. Funct. Anal. Optim. 31 (2010), no.
Çit Sezin, Doğru Ogün
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Local and global results for modified Sz\'{a}sz - Mirakjan operators
In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null +2 more
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Fractional Korovkin Theory Based on Statistical Convergence [PDF]
2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Anastassiou, George A., Duman, Oktay
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A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals [PDF]
2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness.
Zapryanova, T.
core
On the continuity in q of the family of the limit q-Durrmeyer operators
This study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel +2 more
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On Kantorovich variant of Brass-Stancu operators
In this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat +2 more
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Approximation properties of Kantorovich type q-Balázs-Szabados operators
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
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Direct and Converse Theorems for Generalized Bernstein-Type Operators [PDF]
2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators.
Finta, Zoltán
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Transformation of the second order modulus by positive linear operators
We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
Pǎltǎnea Radu, Stan Gabriel
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Approximation process of a positive linear operator of hypergeometric type
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
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