scholarly journals Degree of approximation for bivariate extension of blending type q -Durrmeyer operators based on Pólya distribution

2021 ◽  
Vol 24 (03) ◽  
pp. 256-272
Author(s):  
Edmond Aliaga ◽  
Shpetim Rexhepi
Keyword(s):  
Degree Of Approximation ◽  
Durrmeyer Operators ◽  
Polya Distribution

scholarly journals Lupaş-Durrmeyer operators based on Polya distribution

2014 ◽  
Vol 8 (2) ◽  
pp. 146-155 ◽  
Author(s):  
Vijay Gupta ◽  
Themistocles M. Rassias
Keyword(s):  
Durrmeyer Operators ◽  
Polya Distribution

Degree of approximation of genuine Lupaş-Durrmeyer operators

2019 ◽  
Vol 12 (2) ◽  
pp. 119-135
Author(s):  
Nesibe Manav ◽  
Nurhayat Ispir
Keyword(s):  
Degree Of Approximation ◽  
Durrmeyer Operators

scholarly journals Direct estimates for Lupaş-Durrmeyer operators

Filomat ◽  
2016 ◽  
Vol 30 (1) ◽  
pp. 191-199 ◽  
Author(s):  
Ali Aral ◽  
Vijay Gupta
Keyword(s):  
Asymptotic Formula ◽  
Hypergeometric Function ◽  
Bounded Variation ◽  
Open Problem ◽  
Bernstein Polynomials ◽  
Durrmeyer Operators ◽  
Rate Of Approximation ◽  
Polya Distribution ◽  
Convergence Estimates

The generalization of the Bernstein polynomials based on Polya distribution was first considered by Stancu [14]. Very recently Gupta and Rassias [6] proposed the Durrmeyer type modification of the Lupa? operators and established some results. Now we extend the studies and here we estimate the convergence estimates, which include quantitative asymptotic formula and rate of approximation bounded variation. We also give an open problem for readers to obtain the moments using hypergeometric function.

scholarly journals Degree of Approximation by Hybrid Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Naokant Deo ◽  
Hee Sun Jung ◽  
Ryozi Sakai
Keyword(s):  
Beta Function ◽  
Degree Of Approximation ◽  
Integral Type ◽  
General Sequence ◽  
Durrmeyer Operators

We consider hybrid (Szász-beta) operators, which are a general sequence of integral type operators including beta function, and we give the degree of approximation by these Szász-beta-Durrmeyer operators.

scholarly journals q-Durrmeyer operators based on Pólya distribution

2016 ◽  
Vol 09 (04) ◽  
pp. 1497-1504 ◽  
Author(s):  
Vijay Gupta ◽  
Themistocles M. Rassias ◽  
Honey Sharma
Keyword(s):  
Durrmeyer Operators ◽  
Polya Distribution

scholarly journals Some smoothness properties of the Lupaş-Kantorovich type operators based on Pólya distribution

Filomat ◽  
2018 ◽  
Vol 32 (11) ◽  
pp. 3867-3880 ◽  
Author(s):  
Arun Kajla ◽  
Dan Miclăuş
Keyword(s):  
Asymptotic Behavior ◽  
Uniform Convergence ◽  
Present Article ◽  
Degree Of Approximation ◽  
Polya Distribution

In the present article, we study some smoothness properties of new Lupa?-Kantorovich type operators based on P?lya distribution, as uniform convergence and asymptotic behavior. In order to get the degree of approximation, some quantitative type theorems will be established. The bivariate extension of these operators, with some indispensable results will be also presented.

scholarly journals Trigonometric approximation of functions $f(x,y)$ of generalized Lipschitz class by double Hausdorff matrix summability method

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Abhishek Mishra ◽  
Vishnu Narayan Mishra ◽  
M. Mursaleen
Keyword(s):  
Double Fourier Series ◽  
Degree Of Approximation ◽  
Trigonometric Approximation ◽  
Lipschitz Class ◽  
Gamma Delta ◽  
Approximation Of Functions ◽  
Matrix Summability ◽  
Alpha Beta ◽  
Generalized Lipschitz Class ◽  
Hausdorff Matrix

AbstractIn this paper, we establish a new estimate for the degree of approximation of functions $f(x,y)$ f ( x , y ) belonging to the generalized Lipschitz class $Lip ((\xi _{1}, \xi _{2} );r )$ L i p ( ( ξ 1 , ξ 2 ) ; r ) , $r \geq 1$ r ≥ 1 , by double Hausdorff matrix summability means of double Fourier series. We also deduce the degree of approximation of functions from $Lip ((\alpha ,\beta );r )$ L i p ( ( α , β ) ; r ) and $Lip(\alpha ,\beta )$ L i p ( α , β ) in the form of corollary. We establish some auxiliary results on trigonometric approximation for almost Euler means and $(C, \gamma , \delta )$ ( C , γ , δ ) means.

scholarly journals Preserving the Shape of Functions by Applying Multidimensional Schoenberg-Type Operators

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1016
Author(s):  
Camelia Liliana Moldovan ◽  
Radu Păltănea
Keyword(s):  
Applied Sciences ◽  
Degree Of Approximation ◽  
Higher Order ◽  
Second Order ◽  
Dimensional Case ◽  
Moduli Of Continuity ◽  
One Dimensional ◽  
Multidimensional Generalization ◽  
The One

The paper presents a multidimensional generalization of the Schoenberg operators of higher order. The new operators are powerful tools that can be used for approximation processes in many fields of applied sciences. The construction of these operators uses a symmetry regarding the domain of definition. The degree of approximation by sequences of such operators is given in terms of the first and the second order moduli of continuity. Extending certain results obtained by Marsden in the one-dimensional case, the property of preservation of monotonicity and convexity is proved.

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