Results 11 to 20 of about 54 (54)
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 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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Kernels and best approximations related to the system of ultraspherical polynomials [PDF]
, 2005 22 pages, no figures.-- MSC2000 codes: 41A10; 41A17; 41A25; 42C10; 33C45.MR#: MR2129477 (2005k:41087)Zbl#: Zbl 1074.41003We study the uniformly bounded orthonormal system $ \Cal U_\lambda $ of functions $$ u_n (\lambda )}(x)=\varphi _n (\lambda )}(\cos x)
Marcellán, Francisco +5 more
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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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Integral estimates for a class Bn of operators
, 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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Principles of Extremum and Application to some Problems of Analysis [PDF]
, 1998 AMS subject classification: 41A17, 41A50, 49Kxx, 90C25.The aim of this paper is to demonstrate applications of a direct approach to the solution of extremal problems to some concrete problems of classical analysis, calculus of variations and ...
Tikhomirov, V.
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Global Smoothness Of Approximating Functions
, 1991 We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (Lnf).
Anastassiou, George A. +2 more
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Quantitative results for the convergence of the iterates of some King type operators
, 2019 In this article we construct three q -King type operators which fix the functions e0 and e2 +αe1, α > 0. We study the rates of convergence for the iterates of these operators using the first and the second order modulus of continuity. We show that the
BIROU, Marius Mihai
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Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]
, 2013 MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in
Hachani, M. A.
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A New Characterization of Weighted Peetre K-Functionals (II) [PDF]
, 2007 2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the ...
Draganov, Borislav, Ivanov, Kamen
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