Estimates in direct inequalities for the Szász–Mirakyan operator [PDF]
, 2022 This paper deals with the approximation of continuous functions by the classical Szász–Mirakyan operator. We give new bounds for the constant in front of the second order Ditzian–Totik modulus of smoothness in direct inequalities.
Cárdenas-Morales, Daniel +2 more
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Voronovskaya-Type Theorems for Derivatives of the Bernstein-Chlodovsky Polynomials and the Szász-Mirakyan Operator [PDF]
, 2009 This paper is devoted to a study of a Voronovskaya-type theorem for the derivative of the Bernstein–Chlodovsky polynomials and to a comparison of its approximation effectiveness with the corresponding theorem for the much better-known Szász–Mirakyan ...
Butzer, Paul Leo, Karsli, Harun
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SZÁSZ OPERATÖRLERİNİN BAZI GENELLEMELERİ [PDF]
, 2022 Bu tez 5 bölümden olu¸smaktadır. Birinci bölüm giri¸s kısmına ayrılmı¸stır. ˙ Ikinci bölümde yakla¸sımlar teorisindeki bazı temel tanımlar ve teoremler verilmi¸stir.
Hatice ERYiĞiT
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Boundedness of a Kantorovich type of the Szász-Mirakjan Operator [PDF]
ITM Web of ConferencesLet Bn f represent the n-th Bernstein polynomial for f for each n ϵ ℕ and f ϵ C ([0, 1]) . Then for any f ϵ C ([0, 1]), the sequence {Bn f} converges uniformly to f.
Neswan Oki +3 more
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On the Rate of Convergence of the Generalized Szász Type Operators for Functions of Bounded Variation [PDF]
, 1998 In this article we introduce the Szász–Bézier operatorSn,αwhich is the modified form of the Szász–Mirakyan operator. By means of construction of suitable functions and the methods of Bojanic–Vuillemier [J. Approx.
Zeng, Xiao-Ming
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Best constants in preservation of global smoothness for Szász–Mirakyan operators [PDF]
, 2008 We obtain the best possible constants in preservation inequalities concerning the usual first modulus of continuity for the classical Szász–Mirakyan operator.
Adell, José A., Lekuona, Alberto
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A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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A remark on a modified Szász-Mirakjan operator [PDF]
, 1999 We prove that, for a sequence of positive numbers δ(n), if $n^{1/2}δ(n)\not\to\infty$ as $n\to\infty$, to guarantee that the modified Szász-Mirakjan operators $S_{n,δ}(f,x)$ converge to f(x) at every point, f must be identically ...
Zhou, Songping, Zhou, Guanzhen
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Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials
Journal of Inequalities and Applications, 2020 The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\infty )$ and continuous function spaces with polynomial weights.
Chetan Swarup +3 more
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Simultaneous approximation of the Feller operator [PDF]
, 1996 In this paper, a quantitative estimate for the simultaneous approximation of a function and its derivatives by the Feller operator is established via a probabilistic approach.
Anastassiou, G. A. +2 more
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