Results 11 to 20 of about 448 (115)
A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials [PDF]
Journal of Function Spaces and Applications, 2013 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.
Rabia Aktaş +2 more
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Statistical Korovkin and Voronovskaya type theorem for the Cesaro second-order operator of fuzzy numbers [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 In this paper we define the Ces\'aro second-order summability method for fuzzy numbers and prove Korovkin type theorem, then as the application of it, we prove the rate of convergence. In the last section, we prove the kind of Voronovskaya type theorem and give some concluding remarks related to the obtained results.
Naim L. Braha, Valdete Loku
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators [PDF]
Journal of Inequalities and Applications, 2016 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen +2 more
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Voronovskaya Type Theorems in Weighted Spaces
Numerical Functional Analysis and Optimization, 2016 In this article, we introduce a generalization of Gamma operators based on a function ρ having some properties and prove quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems ...
Erençin, Ayşegül, Raşa, Ioan
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Approximation by Genuine q‐Bernstein‐Durrmeyer Polynomials in Compact Disks in the Case q > 1 [PDF]
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 This paper deals with approximating properties of the newly defined q‐generalization of the genuine Bernstein‐Durrmeyer polynomials in the case q > 1, which are no longer positive linear operators on C[0,1]. Quantitative estimates of the convergence, the Voronovskaja‐type theorem, and saturation of convergence for complex genuine q‐Bernstein‐Durrmeyer ...
Nazim I. Mahmudov, Sofiya Ostrovska
wiley +5 more sources
A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators
Journal of Mathematical Analysis and Applications, 2010 The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
Anastassiou, George A., Mezei, Razvan A.
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Rate of Approximation for Modified Lupaş-Jain-Beta Operators
Journal of Function Spaces, 2020 The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim +4 more
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Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators
Journal of MathematicsWe use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman +2 more
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A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
Abstract and Applied Analysis, 2012 We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen +2 more
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On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials
Abstract and Applied Analysis, 2012 This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.
Sezgin Sucu +2 more
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