Results 61 to 70 of about 606,824 (183)
ψ‐Bernstein–Kantorovich operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu +2 more
wiley +1 more source
, 2014 This note is devoted to preconditioning strategies for non-Hermitian multilevel block Toeplitz linear systems associated with a multivariate Lebesgue integrable matrix-valued symbol.
Donatelli, Marco +4 more
core +1 more source
A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
wiley +1 more source
Journal of Function Spaces, 2020 In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha +2 more
doaj +1 more source
Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
doaj +1 more source
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
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.
Anastassiou, George A., Duman, Oktay
core
Asymptotic expansions for variants of the gamma and Post–Widder operators preserving 1 and xj
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13718-13733, December 2024.Recently, the authors constructed operators acting on a space of functions defined on [0,∞)$$ \left[0,\infty \right) $$ and preserving 1 and xj$$ {x}^j $$ for a given j∈ℕ$$ j\in \mathrm{\mathbb{N}} $$. To this end, they considered suitable modifications of the Post–Widder and gamma operators.
Ulrich Abel +3 more
wiley +1 more source
A Korovkin Type Approximation Theorem and Its Applications
Abstract and Applied Analysis, 2014 We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus ...
Malik Saad Al-Muhja
doaj +1 more source
On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus
Journal of Function Spaces, 2020 In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj +1 more source