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The Voronovskaya Theorem for q-Analogue of Szasz-Mirakjan Operators
Ali J. Mohammad and Rihab R. Abdul-Razaq
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An Elementary Proof of Voronovskaya's Theorem
The American Mathematical Monthly, 1975(1975). An Elementary Proof of Voronovskaya's Theorem. The American Mathematical Monthly: Vol. 82, No. 6, pp. 639-641.
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arXiv.org
This work introduces rigorous convergence rates for neural network operators activated by symmetrized and perturbed hyperbolic tangent functions, utilizing novel Voronovskaya-Damasclin asymptotic expansions.
Rômulo Damasclin Chaves dos Santos +1 more
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This work introduces rigorous convergence rates for neural network operators activated by symmetrized and perturbed hyperbolic tangent functions, utilizing novel Voronovskaya-Damasclin asymptotic expansions.
Rômulo Damasclin Chaves dos Santos +1 more
semanticscholar +1 more source
2019
Let $\sigma_n$ denotes the classical Fej\'er operator for trigonometric expansions.For a fixed even integer $r$, we characterize the rate of convergence of the iterative operators$(I-\sigma_n)^r(f)$ in terms of the modulus of continuity of order $r$ (with specific constants)in all $\mathbb{L}^p$ spaces $1\leq p \leq \infty$.
BUSTAMANTE, Jorge +1 more
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Let $\sigma_n$ denotes the classical Fej\'er operator for trigonometric expansions.For a fixed even integer $r$, we characterize the rate of convergence of the iterative operators$(I-\sigma_n)^r(f)$ in terms of the modulus of continuity of order $r$ (with specific constants)in all $\mathbb{L}^p$ spaces $1\leq p \leq \infty$.
BUSTAMANTE, Jorge +1 more
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The new forms of Voronovskaya’s theorem in weighted spaces
Positivity, 2015Tuncer acar, Ali Aral, Ioan Rasa
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Voronovskaya type results for Bernstein-Chlodovsky operators preserving e−2
Journal of Mathematical Analysis and Applications, 2020Tuncer acar +2 more
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Quantitative q-Voronovskaya and q-Grüss–Voronovskaya-type results for q-Szász operators
, 2016T. Acar
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Korovkin type theorem for Bernstein–Kantorovich operators via power summability method
Analysis and Mathematical Physics, 2020Naim Braha
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A note on the paper “Voronovskaya type asymptotic approximation by modified Gamma operators”
Applied Mathematics and Computation, 2013Grażyna Krech
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A Voronovskaya-type formula for SMK operators via statistical convergence
Mathematica Slovaca, 2011Ali Aral, Oktay Duman
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