Generalized Lupaş operators

2018 ◽  
Author(s):  
Hatice Gül İnce İlarslan ◽  
Ali Aral ◽  
Gülen Başcanbaz-Tunca
Keyword(s):  
Lupaş Operators

scholarly journals Rate of approximation of functions of bounded variation by modified Lupas operators

1991 ◽  
Vol 44 (2) ◽  
pp. 177-188 ◽  
Author(s):  
Wang Yuankwei ◽  
Guo Shunsheng
Keyword(s):  
Bounded Variation ◽  
Approximation Theorem ◽  
Functions Of Bounded Variation ◽  
Approximation Of Functions ◽  
Rate Of Approximation ◽  
Lupaş Operators

This paper discusses the rate of approximation of functions of bounded variation using the Modified Lupas operator. We obtain an approximation theorem and our estimate is essentially the best possible.

scholarly journals A new construction of Lupaş operators and its approximation properties

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mohd Qasim ◽  
Asif Khan ◽  
Zaheer Abbas ◽  
Qing-Bo Cai
Keyword(s):  
Uniform Approximation ◽  
Type Theorem ◽  
Local Approximation ◽  
Moduli Of Smoothness ◽  
Approximation Properties ◽  
Quantitative Estimates ◽  
Voronovskaya Type Theorem ◽  
Lupaş Operators ◽  
New Construction ◽  
Weighted Moduli Of Smoothness

AbstractThe aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences $u_{m} $ u m and $v_{m}$ v m of functions. We prove that the new operators provide better weighted uniform approximation over $[0,\infty )$ [ 0 , ∞ ) . In terms of weighted moduli of smoothness, we obtain degrees of approximation associated with the function ρ. Also, we prove Voronovskaya-type theorem, quantitative estimates for the local approximation.

scholarly journals On multivariate Lupaş operators

2017 ◽  
Vol 47 (6) ◽  
Author(s):  
Murat Bodur ◽  
Fatma Taşdelen ◽  
Gülen Başcanbaz-Tunca
Keyword(s):  
Lupaş Operators

scholarly journals Approximation by Generalized Lupaş Operators Based on q-Integers

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 68 ◽  
Author(s):  
Mohd Qasim ◽  
M. Mursaleen ◽  
Asif Khan ◽  
Zaheer Abbas
Keyword(s):  
Local Approximation ◽  
Approximation Properties ◽  
Unbounded Function ◽  
Quantitative Estimates ◽  
Lupaş Operators ◽  
Selection Of

The purpose of this paper is to introduce q-analogues of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing, and unbounded function ρ . Depending on the selection of q, these operators provide more flexibility in approximation and the convergence is at least as fast as the generalized Lupaş operators, while retaining their approximation properties. For these operators, we give weighted approximations, Voronovskaja-type theorems, and quantitative estimates for the local approximation.

scholarly journals Convergence properties of generalized Lupaş-Kantorovich operators

2021 ◽  
Vol 13 (3) ◽  
pp. 818-830
Author(s):  
M. Qasim ◽  
A. Khan ◽  
Z. Abbas ◽  
M. Mursaleen
Keyword(s):  
Type Theorem ◽  
Weighted Approximation ◽  
Local Approximation ◽  
Convergence Properties ◽  
Unbounded Function ◽  
Quantitative Estimates ◽  
Voronovskaya Type Theorem ◽  
Lupaş Operators ◽  
Kantorovich Operators

In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$. For these new operators we give weighted approximation, Voronovskaya type theorem, quantitative estimates for the local approximation.

scholarly journals Convergence of Generalized Lupaş-Durrmeyer Operators

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 852 ◽  
Author(s):  
Mohd Qasim ◽  
Mohammad Mursaleen ◽  
Asif Khan ◽  
Zaheer Abbas
Keyword(s):  
Weighted Approximation ◽  
Local Approximation ◽  
Basis Functions ◽  
Integral Type ◽  
Central Moments ◽  
Durrmeyer Operators ◽  
Quantitative Estimates ◽  
Lupaş Operators

The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on μ having some properties. Primarily, for these new operators, we calculate moments and central moments, weighted approximation is discussed. Further, Voronovskaya type asymptotic theorem is proved. Finally, quantitative estimates for the local approximation is taken into consideration.

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