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Approximation Properties of a Fractional Integral-Type Szász–Kantorovich–Stancu–Schurer Operator via Charlier Polynomials

open access: yesMathematics
The goal of this manuscript is to introduce a new Stancu generalization of the modified Szász–Kantorovich operator connecting Riemann–Liouville fractional operators via Charlier polynomials.
Nadeem Rao   +2 more
doaj   +3 more sources

Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results

open access: yesMathematics
In this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman   +2 more
doaj   +3 more sources

Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012).
Manjari Sidharth   +2 more
doaj   +3 more sources

Boundedness of a Kantorovich type of the Szász-Mirakjan Operator [PDF]

open access: yesITM Web of Conferences
Let Bn f represent the n-th Bernstein polynomial for f for each n ϵ ℕ and f ϵ C ([0, 1]) . Then for any f ϵ C ([0, 1]), the sequence {Bn f} converges uniformly to f.
Neswan Oki   +3 more
doaj   +2 more sources

Approximation of complex q-Beta-Baskakov-Szász-Stancu operators in compact disk

open access: yesDemonstratio Mathematica
The purpose this study is to present and investigate the qq-Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifically ...
Cheregi Larisa, Mursaleen Mohammad
doaj   +2 more sources

Function preserving the wavelets-associated approximation by Szász-type operators in quantum calculus

open access: yesJournal of Inequalities and Applications
In the present article we obtain the approximation properties of Szász-type operators by use of wavelets in quantum calculus. We construct the Szász-type operators by q-calculus and introduce the Kantrovich variant of this operator by wavelets, then ...
Md. Nasiruzzaman
doaj   +2 more sources

Numerical solution of fractional Volterra integral equations using Szász-Mirakyan approximation operators

open access: yesJournal of Inequalities and Applications
In this paper, we employ the Szász-Mirakyan estimation together with the Riemann-Liouville fractional integral operator to solve both the first and second kinds of fractional Volterra integral equations.
Petro Bwire   +3 more
doaj   +2 more sources

Approximation degree of Durrmeyer–Bézier type operators [PDF]

open access: yesJournal of Inequalities and Applications, 2018
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov–Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators.
Purshottam N. Agrawal   +3 more
doaj   +2 more sources

Approximation properties of a modified Szász-Mirakyan operator with enhanced convergence and comparative numerical examples

open access: yesJournal of Inequalities and Applications
Szász–Mirakyan operators constitute an important class of positive linear operators in approximation theory due to their ability to approximate continuous functions on unbounded intervals. Motivated by the search for operators with improved approximation
Khursheed J. Ansari   +3 more
doaj   +2 more sources

On modified Dunkl generalization of Szász operators via q-calculus [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen   +2 more
doaj   +2 more sources

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