A Moments of Generalized Two Variable Szasz Operators

2017 ◽  
Vol 17 (1) ◽  
pp. 1-6
Author(s):  
Aynur Mammadova
Keyword(s):  
Szász Operators

scholarly journals Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Valdete Loku ◽  
Naim L. Braha ◽  
Toufik Mansour ◽  
M. Mursaleen
Keyword(s):  
Power Series ◽  
Summability Method ◽  
Approximation Properties ◽  
Type Result ◽  
Szász Operators ◽  
Sheffer Polynomials

AbstractThe main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

scholarly journals Stancu type generalization of the Favard–Szàsz operators

2010 ◽  
Vol 23 (12) ◽  
pp. 1479-1482 ◽  
Author(s):  
Çiğdem Atakut ◽  
İbrahim Büyükyazıcı
Keyword(s):  
Szász Operators

Approximation by Chlodowsky variant of Szász operators involving Sheffer polynomials

2019 ◽  
Vol 4 (2) ◽  
pp. 321-341
Author(s):  
Khursheed J‎. ‎Ansari ◽  
M. ‎Mursaleen ◽  
A. H. ‎Al-Abeid
Keyword(s):  
Szász Operators ◽  
Sheffer Polynomials

scholarly journals A Dunkl type generalization of Szász operators via post-quantum calculus

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Abdullah Alotaibi ◽  
Md. Nasiruzzaman ◽  
M. Mursaleen
Keyword(s):  
Quantum Calculus ◽  
Szász Operators

scholarly journals A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Rabia Aktaş ◽  
Bayram Çekim ◽  
Fatma Taşdelen
Keyword(s):  
Type Theorem ◽  
Approximation Properties ◽  
Szász Operators ◽  
Voronovskaya Type Theorem

We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators. Also, we give a Voronovskaya type theorem for Kantorovich-Stancu type operators including Gould-Hopper polynomials.

scholarly journals On modified Dunkl generalization of Szász operators via q-calculus

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
M Mursaleen ◽  
Md Nasiruzzaman ◽  
Abdullah Alotaibi
Keyword(s):  
Szász Operators

scholarly journals Local Approximation by Modified Szász Operators

1995 ◽  
Vol 195 (2) ◽  
pp. 323-334
Author(s):  
Z.R. Guo ◽  
D.X. Zhou
Keyword(s):  
Local Approximation ◽  
Szász Operators

scholarly journals On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Sezgin Sucu ◽  
Gürhan İçöz ◽  
Serhan Varma
Keyword(s):  
Convergence Theorem ◽  
Quantitative Estimation ◽  
Laguerre Polynomials ◽  
Classical Approach ◽  
Type Result ◽  
Linear Positive Operators ◽  
Approximation Process ◽  
Charlier Polynomials ◽  
Szász Operators ◽  
Second Modulus Of Continuity

This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials. We establish a convergence theorem for these operators and give the quantitative estimation of the approximation process by using a classical approach and the second modulus of continuity. Some explicit examples of our operators involving Laguerre polynomials, Charlier polynomials, and Gould-Hopper polynomials are given. Moreover, a Voronovskaya-type result is obtained for the operators containing Gould-Hopper polynomials.

scholarly journals On approximation properties of Baskakov-Schurer-Szász operators preserving exponential functions

Filomat ◽  
2018 ◽  
Vol 32 (15) ◽  
pp. 5433-5440 ◽  
Author(s):  
Övgü Yılmaz ◽  
Murat Bodur ◽  
Ali Aral
Keyword(s):  
Uniform Convergence ◽  
Generating Function ◽  
General Class ◽  
Quantitative Estimate ◽  
Moment Generating Function ◽  
Convergence Result ◽  
Weighted Spaces ◽  
Approximation Properties ◽  
Exponential Functions ◽  
Szász Operators

The goal of this paper is to construct a general class of operators which has known Baskakov-Schurer-Sz?sz that preserving constant and e2ax, a > 0 functions. Also, we demonstrate the fact that for these operators, moments can be obtained using the concept of moment generating function. Furthermore, we investigate a uniform convergence result and a quantitative estimate in consideration of given operator, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Schurer-Sz?sz operators and the recent sequence, too.

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