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\(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials
We establish direct and converse estimates for a generalized Kantorovich polynomial operator depending on a positive parameter.
Zoltán Finta
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Refined Estimates for the Equivalence Between Ditzian-Totik Moduli of Smoothness and K-Functionals [PDF]
The aim of this note is to study the magnitude of the constants in the equivalence between the first and secondorder Ditzian-Totik moduli of smoothness and related K-functionals.
Tachev, Gancho T.
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Approximation properties of q-Kantorovich-Stancu operator [PDF]
Ana Maria Acu +3 more
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Strong converse inequality for left Bernstein-Durrmeyer quasi-interpolants [PDF]
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Approximation Properties of Some Modified Szász–Mirakjan–Kantorovich Operators
R. Yadav, R. Meher, V. Mishra
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Approximation properties of q-Baskakov operators
Finta Zoltán, Gupta Vijay
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Optimal stochastic Bernstein polynomials in Ditzian–Totik type modulus of smoothness
Journal of Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Qinjiao +2 more
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Characterization of Hölder spaces corresponding to Ditzian-Totik modulus of smoothness
Approximation Theory and its Applications, 2000It is proved that the weighted Hölder spaces \(\Lambda_{\alpha, p}\) on the interval \([-1, 1]\) with the weight \(\varphi(x) = \sqrt {1-x^2}\) are linearly isomorphic to some sequence spaces. The isomorphism is given by the coefficients of functions with respect to a system of orthonormal splines with knots uniformly distributed according to the ...
A. Kamont
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