Results 31 to 40 of about 63 (55)
Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani +3 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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Korovkin-type Theorems and Approximation by Positive Linear Operators [PDF]
, 2010 The main aim of this survey paper is to give a detailed self-contained introduction to the field as well as a secure entry into a theory that provides useful tools for understanding and unifying several aspects pertaining, among others, to real and ...
Francesco Altomare, ALTOMARE, Francesco
core
Approximation by ψ‐Baskakov‐Kantorovich Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu +2 more
wiley +1 more source
Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
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Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.We 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 results of these operators are studied.
Md. Nasiruzzaman +3 more
wiley +1 more source
Approximation by q‐Post‐Widder Operators Based on a New Parameter
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
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Approximation by a new sequence of operators involving Laguerre polynomials [PDF]
This paper offers a newly created integral approach for operators employing the orthogonal modified Laguerre polynomials and P\u{a}lt\u{a}nea basis. These operators approximate the functions over the interval $[0,\infty)$.
Kumar, Kapil +2 more
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Statistical convergence of martingale difference sequence via deferred weighted mean and Korovkin-type theorems [PDF]
Miskolc Mathematical Notes, 2021 Jena, Bidu Bhusan +1 more
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KOROVKIN TYPE APPROXIMATION THEOREMS IN WEIGHTED SPACES VIA POWER SERIES
, 2018 In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space C-p1 into a weighted space B-p2 with the use of the power series method which includes both Abel and Borel methods.
Tas, E, Yurdakadim, T, Atlihan, OG
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