Statistical approximation by positive linear operators [PDF]
The sequences of some classical approximation operators tend to converge to the values of the function they approximate, except perhaps at points of discontinuity, where in several cases such sequences do not converge to any value. Statistical convergence, which is a regular non-matrix summability method, has revealed effective to correct the lack of ...
Duman, O., Orhan, C.
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On the Approximation by Bivariate Szász–Jakimovski–Leviatan-Type Operators of Unbounded Sequences of Positive Numbers [PDF]
In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
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Approximation by Some Stancu Type Linear Positive Operators
Present paper is the study about Stancu type generalization of modified Beta-Szasz operators and their q-analogues. We obtain some approximation properties for these operators and estimate the rate of convergence by using the first and second order modulus of continuity.
Prerna Sharma
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Approximation by Overactivated and Spiked Convolutions as Positive Linear Operators [PDF]
In this work, the author studied the quantitative approximation to the unit operator of three kinds of overactivated and spiked convolution type-operators.
George A. Anastassiou
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Poisson approximation to the binomial distribution: extensions to the convergence of positive operators [PDF]
The idea behind Poisson approximation to the binomial distribution was used in de la Cal and Luquin (J Approx Theory 68(3):322–329, 1992) and subsequent papers in order to establish the convergence of suitable sequences of positive linear operators.
Ana Maria Acu +3 more
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Direct and Inverse Theorems on Statistical Approximations by Positive Linear Operators [PDF]
The author proves some direct and inverse results on \(A\)-statistical convergence of the sequence of general positive linear operators. The order of \(A\)-statistical convergence is computed by means of the modulus of continuity and Peetre's \(K\)-functionals.
Ogün Doğru
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Sharp estimates of approximation by some positive linear operators [PDF]
Recently, Varshney and Singh [Rend. Mat. (6) 2 (1982), 219–225] have given sharper quantitative estimates of convergence for Bernstein polynomials, Szasz and Meyer-Konig-Zeller operators. We have achieved improvement over these estimates by taking moments of higher order.
Ashok Sahai, Govind Prasad
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Approximation of functions with linear positive operators which fix {1, φ } and {1, φ 2 } [PDF]
In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0, 1] are presented. Then we present different types of operators by choosing different functions
Fuat Usta
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Approximation by generalized positive linear Kantorovich operators
In the present article, we introduce generalized positive linear-Kantorovich operators depending on P?lya-Eggenberger distribution (PED) as well as inverse P?lya-Eggenberger distribution (IPED) and for these operators, we study some approximation properties like local approximation theorem, weighted approximation and estimation of rate of ...
Dhamija, Minakshi, Deo, Naokant
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The paper is a survey concerning representations for the remainder term of Bernstein-Schurer-Stancu and respectively Stancu (based on factorial powers) bivariate approximation formulas, using bivariate divided differences.
Dan Bărbosu
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