Results 41 to 50 of about 165 (152)
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman +5 more
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, 2021 In this paper we give estimates for the rates of convergence for the iterates of some positive linear operators which preserve only the constants. We obtain sharp inequalities when we use both continuous functions and differen- tiable functions.
BIROU, Marius Mihai
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Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay +2 more
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King-type operators related to squared Szász-Mirakyan basis
, 2020 In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szász-Mirakyan basis and prove that these operators behave better than the classical Szász-Mirakyan operators.
HOLHOȘ, Adrian
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A Study on Affine Invariance in ψ‐Modified Szász‐Kantorovich Operators
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose and analyze a modified class of ‐ψ Szász–Mirakjan–Kantorovich operators that preserve affine functions. The proposed modified‐ψ Szász–Mirakjan–Kantorovich operators exhibit superior approximation properties compared to both the classical ψ Szász–Mirakjan–Kantorovich operators and the previously defined ‐ψ Szász–Mirakjan ...
Hüseyin Aktuğlu +2 more
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Fractional Korovkin Theory Based on Statistical Convergence [PDF]
, 2009 2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Duman, Oktay, Anastassiou, George A.
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Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman +5 more
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Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
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On global smoothness preservation by Bernstein-type operators [PDF]
, 2015 We study global smoothness preservation of a function f by sequences of Bernstein-type operators with respect to a certain modulus of continuity of order two.
TALPĂU DIMITRIU, Maria
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On the continuity in q of the family of the limit q-Durrmeyer operators
Demonstratio MathematicaThis study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel +2 more
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