Results 11 to 20 of about 74 (69)
Integral estimates for a class Bn of operators [PDF]
, 2018 Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of operators B that map Pn into itself. In this paper, we establish certain integral estimates concerning B-operator, and thereby obtain generalizations as well as ...
WALI, Shah Lubna, LIMAN, Abdul
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A strong converse inequality for the iterated Boolean sums of the Bernstein operator
, 2022 We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.
DRAGANOV, Borislav R.
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On the approximation by trigonometric polynomials in weighted Lorentz spaces
Journal of Function Spaces, Volume 8, Issue 1, Page 67-86, 2010., 2010 We obtain estimates of structural characteristics of 2π‐periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces.
Vakhtang Kokilashvili +2 more
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Tight wavelet frames in Lebesgue and Sobolev spaces
Journal of Function Spaces, Volume 2, Issue 3, Page 227-252, 2004., 2004 We study tight wavelet frame systems in Lp(ℝd) and prove that such systems (under mild hypotheses) give atomic decompositions of Lp(ℝd) for 1≺p≺∞. We also characterize Lp(ℝd) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best m‐term approximation with the systems in Lp(ℝd) and prove that such ...
L. Borup +3 more
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Shape‐preserving multivariate polynomial approximation in C[−1,1]m
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 325-333, 2004., 2004 We construct multivariate polynomials attached to a function f of m variables, m ≥ 2 , which approximate f with Jackson‐type rate involving a multivariate Ditzian‐Totik ω2φ‐modulus and preserve some natural kinds of multivariate monotonicity and convexity of function.
Ciprian S. Gal, Sorin G. Gal
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On a new family of generalized Bernstein operators
, 2022 In this paper we remark that α-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the
TALPĂU DIMITRIU , Maria
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Some exact inequalities of Hardy‐Littlewood‐Polya type for periodic functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 47, Page 2517-2523, 2004., 2004 We investigate the following problem: for a given A ≥ 0, find the infimum of the set of B ≥ 0 such that the inequality ‖x(k)‖22≤A‖x(r)‖22+B‖x‖22, for k, r ∈ ℕ ∪ {0}, 0 ≤ k < r, holds for all sufficiently smooth functions.
Laith Emil Azar
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Infinite matrices, wavelet coefficients and frames
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3695-3702, 2004., 2004 We study the action of A on f ∈ L2(ℝ) and on its wavelet coefficients, where A=(almjk) lmjk is a double infinite matrix. We find the frame condition for A‐transform of f ∈ L2(ℝ) whose wavelet series expansion is known.
N. A. Sheikh, M. Mursaleen
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Rate of convergence on Baskakov‐Beta‐Bezier operators for bounded variation functions
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 471-479, 2002., 2002 We introduce a new sequence of linear positive operators Bn,α(f, x), which is the Bezier variant of the well‐known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f, x) for functions of bounded variation. We also propose an open problem for the readers.
Vijay Gupta
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Strong Converse Result for Baskakov Operator [PDF]
, 2014 [Gadjev Ivan; Гаджев Иван]2010 Mathematics Subject Classification: 41A36, 41A25, 41A27 ...
Gadjev, Ivan
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