Results 1 to 10 of about 166,277,803 (236)

Improved estimates with the second order modulus of continuity in approximation by linear positive operators

Journal of Numerical Analysis and Approximation Theory, 1988
Not available.
Radu Păltănea
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Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render

Journal of Numerical Analysis and Approximation Theory, 2021
The Bernstein-type operator of Aldaz, Kounchev and Render (2009) is discussed. New direct results in terms of the classical second order modulus as well as in a modification following Marsden and Schoenberg are given.
Ana Maria Acu, Heiner Gonska, Margareta Heilmann   +2 more
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Two sharp inequalities for operators in a Hilbert space

Researches in Mathematics, 2022
In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N.
N.O. Kriachko
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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
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Approximation of Real Functions by a Generalization of Ismail–May Operator

Mathematics, 2022
In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
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On the order of approximation by modified summation-integral-type operators based on two parameters

Demonstratio Mathematica, 2023
In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul, Singh Karunesh Kumar, Alotaibi Abdullah   +2 more
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The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator

مجلة بغداد للعلوم, 2022
      In this work, a weighted H lder function that approximates a Jacobi polynomial which solves the second order singular Sturm-Liouville equation is discussed.
Habeeb A. Aal-Rkhais, Ahmed H. Kamil, Khalid Fanoukh Al Oweidi   +2 more
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Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials

Journal of Inequalities and Applications, 2017
In this paper, we establish a link between the Szász-Durrmeyer type operators and multiple Appell polynomials. We study a quantitative-Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth order central moment and Grüss ...
Trapti Neer, Purshottam Narain Agrawal
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The Bézier variant of Kantorovich type λ-Bernstein operators

Journal of Inequalities and Applications, 2018
In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation ...
Qing-Bo Cai
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A new type of Szász–Mirakjan operators based on q-integers

Journal of Inequalities and Applications, 2023
In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1 ...
Pembe Sabancigil, Nazim Mahmudov, Gizem Dagbasi   +2 more
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