Results 31 to 40 of about 639 (129)
On the monotonicity of $q$-Schurer-Stancu type polynomials
Some properties of monotonicity and convexity of the q-Schurer -Stancu operators are considered. The paper contains also numerical examples based on Matlab algorithms, which verify these properties.
A. Acu, C. Muraru, V. Radu
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Local approximation behavior of modified SMK operators
In this paper, for a general modification of the classical Szász–Mirakjan–Kantorovich operators, we obtain many local approximation results including the classical cases. In particular, we obtain a Korovkin theorem, a Voronovskaya theorem, and some local
M. A. Özarslan, O. Duman
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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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The Bézier variant of Lupas Kantorovich operators based on Polya distribution
In this paper we introduce the Bézier variant of Lupas Kantorovich operators based on Polya distribution. We establish a direct approximation by means of the Ditzian-Totik modulus of smoothness and a global approximation theorem in terms of second order ...
Bo-Yong Lian, Qingbo Cai
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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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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
core
Approximation properties of bivariate extension of q-Szász-Mirakjan-Kantorovich operators
In the present paper, a bivariate generalization of the q-Szász-Mirakjan-Kantorovich operators is constructed by qR-integral and these operators’ weighted A-statistical approximation properties are established.
Mediha Örkcü
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Note on a q-analogue of Stancu-Kantorovich operators
The goal of this paper is to introduce new q-Stancu-Kantorovich operators and to study some of their approximation properties. A convergence theorem using the well known BohmanKorovkin criterion is proven and the rate of convergence involving the modulus
A. Acu +2 more
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Fractional Trigonometric Korovkin Theory in Statistical Sense [PDF]
2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional ...
Anastassiou, George A., Duman, Oktay
core
Certain approximation properties of Srivastava-Gupta operators
In this paper we consider a modification of the well known sequence of summation integral operators, the Srivastava-Gupta operators, in order to achieve faster convergence for our operators over the classical ones.
A. Acu, C. Muraru
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