Results 51 to 60 of about 1,000,066 (146)
Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators
Journal of Inequalities and Applications, 2016 This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang +4 more
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Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals
Mathematics, 2023 The main purpose of this paper is to introduce a new family of parametric Kantorovichtype operators on the half-bounded interval. The convergence properties of these new operators are investigated.
Hui Dong, Qiulan Qi
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Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
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On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17214-17231, 15 November 2026.ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯 n , m together with its subfamilies 𝒯 * n , m , 𝒯 * n , 2 m − 1 and 𝒯 * n , 2 m . We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators.
Hüseyin Aktuğlu, Mustafa Kara
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Smarandache’s Orthic Theorem [PDF]
, 2002 We present the Smarandache’s Orthic Theorem in the geometry of the ...
Patrascu, Ion
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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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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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A quantitative Chevalley-Weil theorem for curves [PDF]
, 2013 The classical Chevalley-Weil theorem asserts that for an étale covering of projective varieties over a number field $K$, the discriminant of the field of definition of the fiber over a $K$-rational point is uniformly bounded.
Surroca, Andrea +2 more
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Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions
Journal of Inequalities and Applications, 2016 In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen +2 more
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Parametric Extension of a Certain Family of Summation-Integral Type Operators
Cumhuriyet Science Journal, 2023 In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these
İsmet Yüksel, Nadire Fulda Odabaşı
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