Results 51 to 60 of about 499 (123)
Approximation by q-Szasz operators [PDF]
, 2010 his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem are given.
Mahmudov, Nazim I.
core
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
A summation-integral type modification of Szasz-Mirakjan-Stancu operators
Journal of Numerical Analysis and Approximation Theory, 2016 In this paper we introduce a summation-integral type modification of Szasz-Mirakjan-Stancu operators. Calculation of moments, density theorem, a direct result and a Voronovskaja-type result are obtained for the operators.
Vishnu Narayan Mishra +2 more
doaj +2 more sources
Generalized p,q-Gamma-type operators
Journal of Function Spaces, 2020 In the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of ...
Wen-Tao Cheng, Qing-Bo Cai
doaj +1 more source
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
Approximation by the modified λ-Bernstein-polynomial in terms of basis function
AIMS MathematicsIn this article by means of shifted knots properties, we introduce a new type of coupled Bernstein operators for Bézier basis functions. First, we construct the operators based on shifted knots properties of Bézier basis functions then investigate the ...
Mohammad Ayman-Mursaleen +4 more
doaj +1 more source
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
doaj +1 more source
A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators
Constructive Mathematical Analysis, 2019 In this note we establish a quantitative Voronovskaja theorem for modified Bernstein polynomials using the first order Ditzian-Totik modulus of smoothness.
openaire +3 more sources
The Lower Estimate for Bernstein Operator [PDF]
, 2013 MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core
Approximation properties of modified (p, q)-Szász-Mirakyan-Kantorovich operators
AIMS Mathematics, 2020 In this paper, we introduce a new kind of modified (p, q)-Szász-Mirakyan-Kantorovich operators based on (p, q)-calculus. Next, the moments computation formulas, the second and fourth order central moments computation formulas and other quantitative ...
Zhongbin Zheng +4 more
doaj +1 more source